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Finding the Third Proportional to 415,978 and 594,442

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Solution

The third proportional to 415,978 and 594,442 is: 849,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,978 : 594,442 = 594,442 : x
  2. Step 2: Convert to fraction form
    415,978/594,442 = 594,442/x
  3. Step 3: Cross multiply
    415,978x = 594,442 × 594,442
  4. Step 4: Simplify right side
    415,978x = 353,361,291,364
  5. Step 5: Solve for x
    x = 353,361,291,364/415,978
  6. Step 6: Final answer
    x = 849,471.11

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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.