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Finding the Third Proportional to 349,725,323.25 and 753,928,890.75

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Solution

The third proportional to 349,725,323.25 and 753,928,890.75 is: 1,625,300,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,725,323.25 : 753,928,890.75 = 753,928,890.75 : x
  2. Step 2: Convert to fraction form
    349,725,323.25/753,928,890.75 = 753,928,890.75/x
  3. Step 3: Cross multiply
    349,725,323.25x = 753,928,890.75 × 753,928,890.75
  4. Step 4: Simplify right side
    349,725,323.25x = 568,408,772,307,525,440
  5. Step 5: Solve for x
    x = 568,408,772,307,525,440/349,725,323.25
  6. Step 6: Final answer
    x = 1,625,300,584.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.