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Finding the Third Proportional to 360,758,244 and 772,534,764

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Solution

The third proportional to 360,758,244 and 772,534,764 is: 1,654,321,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,244 : 772,534,764 = 772,534,764 : x
  2. Step 2: Convert to fraction form
    360,758,244/772,534,764 = 772,534,764/x
  3. Step 3: Cross multiply
    360,758,244x = 772,534,764 × 772,534,764
  4. Step 4: Simplify right side
    360,758,244x = 596,809,961,588,535,680
  5. Step 5: Solve for x
    x = 596,809,961,588,535,680/360,758,244
  6. Step 6: Final answer
    x = 1,654,321,062.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.