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Finding the Third Proportional to 502,088 and 764,897

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Solution

The third proportional to 502,088 and 764,897 is: 1,165,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,088 : 764,897 = 764,897 : x
  2. Step 2: Convert to fraction form
    502,088/764,897 = 764,897/x
  3. Step 3: Cross multiply
    502,088x = 764,897 × 764,897
  4. Step 4: Simplify right side
    502,088x = 585,067,420,609
  5. Step 5: Solve for x
    x = 585,067,420,609/502,088
  6. Step 6: Final answer
    x = 1,165,268.68

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Why These Related Problems?

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