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Finding the Third Proportional to 598,542 and 875,484

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Solution

The third proportional to 598,542 and 875,484 is: 1,280,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,542 : 875,484 = 875,484 : x
  2. Step 2: Convert to fraction form
    598,542/875,484 = 875,484/x
  3. Step 3: Cross multiply
    598,542x = 875,484 × 875,484
  4. Step 4: Simplify right side
    598,542x = 766,472,234,256
  5. Step 5: Solve for x
    x = 766,472,234,256/598,542
  6. Step 6: Final answer
    x = 1,280,565.50

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Why These Related Problems?

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