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Finding the Third Proportional to 709,362.75 and 1,061,452.13

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Solution

The third proportional to 709,362.75 and 1,061,452.13 is: 1,588,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,362.75 : 1,061,452.13 = 1,061,452.13 : x
  2. Step 2: Convert to fraction form
    709,362.75/1,061,452.13 = 1,061,452.13/x
  3. Step 3: Cross multiply
    709,362.75x = 1,061,452.13 × 1,061,452.13
  4. Step 4: Simplify right side
    709,362.75x = 1,126,680,613,667.02
  5. Step 5: Solve for x
    x = 1,126,680,613,667.02/709,362.75
  6. Step 6: Final answer
    x = 1,588,299.66

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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.