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Finding the Third Proportional to 267,952 and 426,528.50

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Solution

The third proportional to 267,952 and 426,528.50 is: 678,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,952 : 426,528.50 = 426,528.50 : x
  2. Step 2: Convert to fraction form
    267,952/426,528.50 = 426,528.50/x
  3. Step 3: Cross multiply
    267,952x = 426,528.50 × 426,528.50
  4. Step 4: Simplify right side
    267,952x = 181,926,561,312.25
  5. Step 5: Solve for x
    x = 181,926,561,312.25/267,952
  6. Step 6: Final answer
    x = 678,952.06

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