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Finding the Third Proportional to 327,461,292 and 714,185,424

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Solution

The third proportional to 327,461,292 and 714,185,424 is: 1,557,621,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,461,292 : 714,185,424 = 714,185,424 : x
  2. Step 2: Convert to fraction form
    327,461,292/714,185,424 = 714,185,424/x
  3. Step 3: Cross multiply
    327,461,292x = 714,185,424 × 714,185,424
  4. Step 4: Simplify right side
    327,461,292x = 510,060,819,854,059,776
  5. Step 5: Solve for x
    x = 510,060,819,854,059,776/327,461,292
  6. Step 6: Final answer
    x = 1,557,621,716.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.