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Finding the Third Proportional to 348,855.75 and 753,475.50

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Solution

The third proportional to 348,855.75 and 753,475.50 is: 1,627,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,855.75 : 753,475.50 = 753,475.50 : x
  2. Step 2: Convert to fraction form
    348,855.75/753,475.50 = 753,475.50/x
  3. Step 3: Cross multiply
    348,855.75x = 753,475.50 × 753,475.50
  4. Step 4: Simplify right side
    348,855.75x = 567,725,329,100.25
  5. Step 5: Solve for x
    x = 567,725,329,100.25/348,855.75
  6. Step 6: Final answer
    x = 1,627,392.78

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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.