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Finding the Third Proportional to 415,680 and 594,432

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Solution

The third proportional to 415,680 and 594,432 is: 850,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680 : 594,432 = 594,432 : x
  2. Step 2: Convert to fraction form
    415,680/594,432 = 594,432/x
  3. Step 3: Cross multiply
    415,680x = 594,432 × 594,432
  4. Step 4: Simplify right side
    415,680x = 353,349,402,624
  5. Step 5: Solve for x
    x = 353,349,402,624/415,680
  6. Step 6: Final answer
    x = 850,051.49

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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.