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Finding the Third Proportional to 267,710 and 392,624

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Solution

The third proportional to 267,710 and 392,624 is: 575,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,710 : 392,624 = 392,624 : x
  2. Step 2: Convert to fraction form
    267,710/392,624 = 392,624/x
  3. Step 3: Cross multiply
    267,710x = 392,624 × 392,624
  4. Step 4: Simplify right side
    267,710x = 154,153,605,376
  5. Step 5: Solve for x
    x = 154,153,605,376/267,710
  6. Step 6: Final answer
    x = 575,823.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.