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Finding the Third Proportional to 293,613 and 625,683

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Solution

The third proportional to 293,613 and 625,683 is: 1,333,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,613 : 625,683 = 625,683 : x
  2. Step 2: Convert to fraction form
    293,613/625,683 = 625,683/x
  3. Step 3: Cross multiply
    293,613x = 625,683 × 625,683
  4. Step 4: Simplify right side
    293,613x = 391,479,216,489
  5. Step 5: Solve for x
    x = 391,479,216,489/293,613
  6. Step 6: Final answer
    x = 1,333,317.04

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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.