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Finding the Third Proportional to 267,951 and 426,527

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Solution

The third proportional to 267,951 and 426,527 is: 678,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,951 : 426,527 = 426,527 : x
  2. Step 2: Convert to fraction form
    267,951/426,527 = 426,527/x
  3. Step 3: Cross multiply
    267,951x = 426,527 × 426,527
  4. Step 4: Simplify right side
    267,951x = 181,925,281,729
  5. Step 5: Solve for x
    x = 181,925,281,729/267,951
  6. Step 6: Final answer
    x = 678,949.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.