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Finding the Third Proportional to 360,758,240 and 772,534,756

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Solution

The third proportional to 360,758,240 and 772,534,756 is: 1,654,321,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,240 : 772,534,756 = 772,534,756 : x
  2. Step 2: Convert to fraction form
    360,758,240/772,534,756 = 772,534,756/x
  3. Step 3: Cross multiply
    360,758,240x = 772,534,756 × 772,534,756
  4. Step 4: Simplify right side
    360,758,240x = 596,809,949,227,979,520
  5. Step 5: Solve for x
    x = 596,809,949,227,979,520/360,758,240
  6. Step 6: Final answer
    x = 1,654,321,046.77

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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.