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Finding the Third Proportional to 293,615 and 625,687

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Solution

The third proportional to 293,615 and 625,687 is: 1,333,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,615 : 625,687 = 625,687 : x
  2. Step 2: Convert to fraction form
    293,615/625,687 = 625,687/x
  3. Step 3: Cross multiply
    293,615x = 625,687 × 625,687
  4. Step 4: Simplify right side
    293,615x = 391,484,221,969
  5. Step 5: Solve for x
    x = 391,484,221,969/293,615
  6. Step 6: Final answer
    x = 1,333,325.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.