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Finding the Third Proportional to 329,580,714 and 498,612,871

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Solution

The third proportional to 329,580,714 and 498,612,871 is: 754,336,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580,714 : 498,612,871 = 498,612,871 : x
  2. Step 2: Convert to fraction form
    329,580,714/498,612,871 = 498,612,871/x
  3. Step 3: Cross multiply
    329,580,714x = 498,612,871 × 498,612,871
  4. Step 4: Simplify right side
    329,580,714x = 248,614,795,126,862,656
  5. Step 5: Solve for x
    x = 248,614,795,126,862,656/329,580,714
  6. Step 6: Final answer
    x = 754,336,599.70

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Why These Related Problems?

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