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Finding the Third Proportional to 267,952 and 426,528

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Solution

The third proportional to 267,952 and 426,528 is: 678,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,952 : 426,528 = 426,528 : x
  2. Step 2: Convert to fraction form
    267,952/426,528 = 426,528/x
  3. Step 3: Cross multiply
    267,952x = 426,528 × 426,528
  4. Step 4: Simplify right side
    267,952x = 181,926,134,784
  5. Step 5: Solve for x
    x = 181,926,134,784/267,952
  6. Step 6: Final answer
    x = 678,950.46

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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.