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Finding the Third Proportional to 502,795.69 and 718,249.78

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Solution

The third proportional to 502,795.69 and 718,249.78 is: 1,026,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,795.69 : 718,249.78 = 718,249.78 : x
  2. Step 2: Convert to fraction form
    502,795.69/718,249.78 = 718,249.78/x
  3. Step 3: Cross multiply
    502,795.69x = 718,249.78 × 718,249.78
  4. Step 4: Simplify right side
    502,795.69x = 515,882,748,265.67
  5. Step 5: Solve for x
    x = 515,882,748,265.67/502,795.69
  6. Step 6: Final answer
    x = 1,026,028.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.