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Finding the Third Proportional to 284,776 and 415,918

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Solution

The third proportional to 284,776 and 415,918 is: 607,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,776 : 415,918 = 415,918 : x
  2. Step 2: Convert to fraction form
    284,776/415,918 = 415,918/x
  3. Step 3: Cross multiply
    284,776x = 415,918 × 415,918
  4. Step 4: Simplify right side
    284,776x = 172,987,782,724
  5. Step 5: Solve for x
    x = 172,987,782,724/284,776
  6. Step 6: Final answer
    x = 607,452.11

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