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Finding the Third Proportional to 358,074 and 501,948

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Solution

The third proportional to 358,074 and 501,948 is: 703,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,074 : 501,948 = 501,948 : x
  2. Step 2: Convert to fraction form
    358,074/501,948 = 501,948/x
  3. Step 3: Cross multiply
    358,074x = 501,948 × 501,948
  4. Step 4: Simplify right side
    358,074x = 251,951,794,704
  5. Step 5: Solve for x
    x = 251,951,794,704/358,074
  6. Step 6: Final answer
    x = 703,630.52

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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.