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Finding the Third Proportional to 360,758,160 and 772,534,624

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Solution

The third proportional to 360,758,160 and 772,534,624 is: 1,654,320,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,160 : 772,534,624 = 772,534,624 : x
  2. Step 2: Convert to fraction form
    360,758,160/772,534,624 = 772,534,624/x
  3. Step 3: Cross multiply
    360,758,160x = 772,534,624 × 772,534,624
  4. Step 4: Simplify right side
    360,758,160x = 596,809,745,278,821,376
  5. Step 5: Solve for x
    x = 596,809,745,278,821,376/360,758,160
  6. Step 6: Final answer
    x = 1,654,320,848.29

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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.