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Finding the Third Proportional to 502,069 and 764,882

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Solution

The third proportional to 502,069 and 764,882 is: 1,165,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,069 : 764,882 = 764,882 : x
  2. Step 2: Convert to fraction form
    502,069/764,882 = 764,882/x
  3. Step 3: Cross multiply
    502,069x = 764,882 × 764,882
  4. Step 4: Simplify right side
    502,069x = 585,044,473,924
  5. Step 5: Solve for x
    x = 585,044,473,924/502,069
  6. Step 6: Final answer
    x = 1,165,267.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.