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Finding the Third Proportional to 292,416 and 437,472

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Solution

The third proportional to 292,416 and 437,472 is: 654,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,416 : 437,472 = 437,472 : x
  2. Step 2: Convert to fraction form
    292,416/437,472 = 437,472/x
  3. Step 3: Cross multiply
    292,416x = 437,472 × 437,472
  4. Step 4: Simplify right side
    292,416x = 191,381,750,784
  5. Step 5: Solve for x
    x = 191,381,750,784/292,416
  6. Step 6: Final answer
    x = 654,484.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.