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Finding the Third Proportional to 360,758,242 and 772,534,760

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Solution

The third proportional to 360,758,242 and 772,534,760 is: 1,654,321,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,758,242 : 772,534,760 = 772,534,760 : x
  2. Step 2: Convert to fraction form
    360,758,242/772,534,760 = 772,534,760/x
  3. Step 3: Cross multiply
    360,758,242x = 772,534,760 × 772,534,760
  4. Step 4: Simplify right side
    360,758,242x = 596,809,955,408,257,536
  5. Step 5: Solve for x
    x = 596,809,955,408,257,536/360,758,242
  6. Step 6: Final answer
    x = 1,654,321,054.73

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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.