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Finding the Third Proportional to 296,404.31 and 650,419.88

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Solution

The third proportional to 296,404.31 and 650,419.88 is: 1,427,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,404.31 : 650,419.88 = 650,419.88 : x
  2. Step 2: Convert to fraction form
    296,404.31/650,419.88 = 650,419.88/x
  3. Step 3: Cross multiply
    296,404.31x = 650,419.88 × 650,419.88
  4. Step 4: Simplify right side
    296,404.31x = 423,046,013,795.02
  5. Step 5: Solve for x
    x = 423,046,013,795.02/296,404.31
  6. Step 6: Final answer
    x = 1,427,259.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.