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Finding the Third Proportional to 502,014 and 764,786

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Solution

The third proportional to 502,014 and 764,786 is: 1,165,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,014 : 764,786 = 764,786 : x
  2. Step 2: Convert to fraction form
    502,014/764,786 = 764,786/x
  3. Step 3: Cross multiply
    502,014x = 764,786 × 764,786
  4. Step 4: Simplify right side
    502,014x = 584,897,625,796
  5. Step 5: Solve for x
    x = 584,897,625,796/502,014
  6. Step 6: Final answer
    x = 1,165,102.22

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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.