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Finding the Third Proportional to 315,882 and 745,691

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Solution

The third proportional to 315,882 and 745,691 is: 1,760,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,882 : 745,691 = 745,691 : x
  2. Step 2: Convert to fraction form
    315,882/745,691 = 745,691/x
  3. Step 3: Cross multiply
    315,882x = 745,691 × 745,691
  4. Step 4: Simplify right side
    315,882x = 556,055,067,481
  5. Step 5: Solve for x
    x = 556,055,067,481/315,882
  6. Step 6: Final answer
    x = 1,760,325.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.