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Finding the Third Proportional to 311,725.50 and 676,587

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Solution

The third proportional to 311,725.50 and 676,587 is: 1,468,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,725.50 : 676,587 = 676,587 : x
  2. Step 2: Convert to fraction form
    311,725.50/676,587 = 676,587/x
  3. Step 3: Cross multiply
    311,725.50x = 676,587 × 676,587
  4. Step 4: Simplify right side
    311,725.50x = 457,769,968,569
  5. Step 5: Solve for x
    x = 457,769,968,569/311,725.50
  6. Step 6: Final answer
    x = 1,468,503.44

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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.