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Finding the Third Proportional to 311,681.53 and 676,564.88

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Solution

The third proportional to 311,681.53 and 676,564.88 is: 1,468,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,681.53 : 676,564.88 = 676,564.88 : x
  2. Step 2: Convert to fraction form
    311,681.53/676,564.88 = 676,564.88/x
  3. Step 3: Cross multiply
    311,681.53x = 676,564.88 × 676,564.88
  4. Step 4: Simplify right side
    311,681.53x = 457,740,030,083.77
  5. Step 5: Solve for x
    x = 457,740,030,083.77/311,681.53
  6. Step 6: Final answer
    x = 1,468,614.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.