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Finding the Third Proportional to 358,662 and 502,659

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Solution

The third proportional to 358,662 and 502,659 is: 704,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,662 : 502,659 = 502,659 : x
  2. Step 2: Convert to fraction form
    358,662/502,659 = 502,659/x
  3. Step 3: Cross multiply
    358,662x = 502,659 × 502,659
  4. Step 4: Simplify right side
    358,662x = 252,666,070,281
  5. Step 5: Solve for x
    x = 252,666,070,281/358,662
  6. Step 6: Final answer
    x = 704,468.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.