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Finding the Third Proportional to 415,978.88 and 594,442.13

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Solution

The third proportional to 415,978.88 and 594,442.13 is: 849,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,978.88 : 594,442.13 = 594,442.13 : x
  2. Step 2: Convert to fraction form
    415,978.88/594,442.13 = 594,442.13/x
  3. Step 3: Cross multiply
    415,978.88x = 594,442.13 × 594,442.13
  4. Step 4: Simplify right side
    415,978.88x = 353,361,439,974.52
  5. Step 5: Solve for x
    x = 353,361,439,974.52/415,978.88
  6. Step 6: Final answer
    x = 849,469.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.