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Finding the Third Proportional to 502,023 and 764,807

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Solution

The third proportional to 502,023 and 764,807 is: 1,165,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,023 : 764,807 = 764,807 : x
  2. Step 2: Convert to fraction form
    502,023/764,807 = 764,807/x
  3. Step 3: Cross multiply
    502,023x = 764,807 × 764,807
  4. Step 4: Simplify right side
    502,023x = 584,929,747,249
  5. Step 5: Solve for x
    x = 584,929,747,249/502,023
  6. Step 6: Final answer
    x = 1,165,145.32

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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.