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Finding the Third Proportional to 374,475,352.50 and 596,389,533.75

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Solution

The third proportional to 374,475,352.50 and 596,389,533.75 is: 949,810,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,475,352.50 : 596,389,533.75 = 596,389,533.75 : x
  2. Step 2: Convert to fraction form
    374,475,352.50/596,389,533.75 = 596,389,533.75/x
  3. Step 3: Cross multiply
    374,475,352.50x = 596,389,533.75 × 596,389,533.75
  4. Step 4: Simplify right side
    374,475,352.50x = 355,680,475,966,542,400
  5. Step 5: Solve for x
    x = 355,680,475,966,542,400/374,475,352.50
  6. Step 6: Final answer
    x = 949,810,110.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.