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Finding the Third Proportional to 485,596 and 761,759

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Solution

The third proportional to 485,596 and 761,759 is: 1,194,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,596 : 761,759 = 761,759 : x
  2. Step 2: Convert to fraction form
    485,596/761,759 = 761,759/x
  3. Step 3: Cross multiply
    485,596x = 761,759 × 761,759
  4. Step 4: Simplify right side
    485,596x = 580,276,774,081
  5. Step 5: Solve for x
    x = 580,276,774,081/485,596
  6. Step 6: Final answer
    x = 1,194,978.49

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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.