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Finding the Third Proportional to 360,758,264 and 772,534,808

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Solution

The third proportional to 360,758,264 and 772,534,808 is: 1,654,321,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,264 : 772,534,808 = 772,534,808 : x
  2. Step 2: Convert to fraction form
    360,758,264/772,534,808 = 772,534,808/x
  3. Step 3: Cross multiply
    360,758,264x = 772,534,808 × 772,534,808
  4. Step 4: Simplify right side
    360,758,264x = 596,810,029,571,596,800
  5. Step 5: Solve for x
    x = 596,810,029,571,596,800/360,758,264
  6. Step 6: Final answer
    x = 1,654,321,159.42

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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.