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Finding the Third Proportional to 329,580,760.50 and 498,612,966.75

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Solution

The third proportional to 329,580,760.50 and 498,612,966.75 is: 754,336,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580,760.50 : 498,612,966.75 = 498,612,966.75 : x
  2. Step 2: Convert to fraction form
    329,580,760.50/498,612,966.75 = 498,612,966.75/x
  3. Step 3: Cross multiply
    329,580,760.50x = 498,612,966.75 × 498,612,966.75
  4. Step 4: Simplify right side
    329,580,760.50x = 248,614,890,611,236,608
  5. Step 5: Solve for x
    x = 248,614,890,611,236,608/329,580,760.50
  6. Step 6: Final answer
    x = 754,336,782.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.