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Finding the Third Proportional to 410,742 and 610,089

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Solution

The third proportional to 410,742 and 610,089 is: 906,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,742 : 610,089 = 610,089 : x
  2. Step 2: Convert to fraction form
    410,742/610,089 = 610,089/x
  3. Step 3: Cross multiply
    410,742x = 610,089 × 610,089
  4. Step 4: Simplify right side
    410,742x = 372,208,587,921
  5. Step 5: Solve for x
    x = 372,208,587,921/410,742
  6. Step 6: Final answer
    x = 906,185.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.