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Finding the Third Proportional to 272,673 and 418,567.50

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Solution

The third proportional to 272,673 and 418,567.50 is: 642,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,673 : 418,567.50 = 418,567.50 : x
  2. Step 2: Convert to fraction form
    272,673/418,567.50 = 418,567.50/x
  3. Step 3: Cross multiply
    272,673x = 418,567.50 × 418,567.50
  4. Step 4: Simplify right side
    272,673x = 175,198,752,056.25
  5. Step 5: Solve for x
    x = 175,198,752,056.25/272,673
  6. Step 6: Final answer
    x = 642,523.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.