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Finding the Third Proportional to 713,608 and 978,541

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Solution

The third proportional to 713,608 and 978,541 is: 1,341,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,608 : 978,541 = 978,541 : x
  2. Step 2: Convert to fraction form
    713,608/978,541 = 978,541/x
  3. Step 3: Cross multiply
    713,608x = 978,541 × 978,541
  4. Step 4: Simplify right side
    713,608x = 957,542,488,681
  5. Step 5: Solve for x
    x = 957,542,488,681/713,608
  6. Step 6: Final answer
    x = 1,341,832.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.