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Finding the Third Proportional to 540,432 and 807,624

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Solution

The third proportional to 540,432 and 807,624 is: 1,206,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,432 : 807,624 = 807,624 : x
  2. Step 2: Convert to fraction form
    540,432/807,624 = 807,624/x
  3. Step 3: Cross multiply
    540,432x = 807,624 × 807,624
  4. Step 4: Simplify right side
    540,432x = 652,256,525,376
  5. Step 5: Solve for x
    x = 652,256,525,376/540,432
  6. Step 6: Final answer
    x = 1,206,916.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.