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Finding the Third Proportional to 617,164 and 925,744

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Solution

The third proportional to 617,164 and 925,744 is: 1,388,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,164 : 925,744 = 925,744 : x
  2. Step 2: Convert to fraction form
    617,164/925,744 = 925,744/x
  3. Step 3: Cross multiply
    617,164x = 925,744 × 925,744
  4. Step 4: Simplify right side
    617,164x = 857,001,953,536
  5. Step 5: Solve for x
    x = 857,001,953,536/617,164
  6. Step 6: Final answer
    x = 1,388,613.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.