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Finding the Third Proportional to 284,773.88 and 415,915.13

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Solution

The third proportional to 284,773.88 and 415,915.13 is: 607,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,773.88 : 415,915.13 = 415,915.13 : x
  2. Step 2: Convert to fraction form
    284,773.88/415,915.13 = 415,915.13/x
  3. Step 3: Cross multiply
    284,773.88x = 415,915.13 × 415,915.13
  4. Step 4: Simplify right side
    284,773.88x = 172,985,391,203.77
  5. Step 5: Solve for x
    x = 172,985,391,203.77/284,773.88
  6. Step 6: Final answer
    x = 607,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.