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Finding the Third Proportional to 485,624 and 760,113

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Solution

The third proportional to 485,624 and 760,113 is: 1,189,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,624 : 760,113 = 760,113 : x
  2. Step 2: Convert to fraction form
    485,624/760,113 = 760,113/x
  3. Step 3: Cross multiply
    485,624x = 760,113 × 760,113
  4. Step 4: Simplify right side
    485,624x = 577,771,772,769
  5. Step 5: Solve for x
    x = 577,771,772,769/485,624
  6. Step 6: Final answer
    x = 1,189,751.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.