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Finding the Third Proportional to 709,593.75 and 1,101,762

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Solution

The third proportional to 709,593.75 and 1,101,762 is: 1,710,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,593.75 : 1,101,762 = 1,101,762 : x
  2. Step 2: Convert to fraction form
    709,593.75/1,101,762 = 1,101,762/x
  3. Step 3: Cross multiply
    709,593.75x = 1,101,762 × 1,101,762
  4. Step 4: Simplify right side
    709,593.75x = 1,213,879,504,644
  5. Step 5: Solve for x
    x = 1,213,879,504,644/709,593.75
  6. Step 6: Final answer
    x = 1,710,668.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.