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Finding the Third Proportional to 523,785,294 and 728,281,584

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Solution

The third proportional to 523,785,294 and 728,281,584 is: 1,012,617,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,785,294 : 728,281,584 = 728,281,584 : x
  2. Step 2: Convert to fraction form
    523,785,294/728,281,584 = 728,281,584/x
  3. Step 3: Cross multiply
    523,785,294x = 728,281,584 × 728,281,584
  4. Step 4: Simplify right side
    523,785,294x = 530,394,065,593,549,056
  5. Step 5: Solve for x
    x = 530,394,065,593,549,056/523,785,294
  6. Step 6: Final answer
    x = 1,012,617,329.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.