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Finding the Third Proportional to 284,900,342 and 617,351,560

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Solution

The third proportional to 284,900,342 and 617,351,560 is: 1,337,741,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,900,342 : 617,351,560 = 617,351,560 : x
  2. Step 2: Convert to fraction form
    284,900,342/617,351,560 = 617,351,560/x
  3. Step 3: Cross multiply
    284,900,342x = 617,351,560 × 617,351,560
  4. Step 4: Simplify right side
    284,900,342x = 381,122,948,634,433,600
  5. Step 5: Solve for x
    x = 381,122,948,634,433,600/284,900,342
  6. Step 6: Final answer
    x = 1,337,741,281.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.