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Finding the Third Proportional to 272,254.50 and 591,097.50

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Solution

The third proportional to 272,254.50 and 591,097.50 is: 1,283,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,254.50 : 591,097.50 = 591,097.50 : x
  2. Step 2: Convert to fraction form
    272,254.50/591,097.50 = 591,097.50/x
  3. Step 3: Cross multiply
    272,254.50x = 591,097.50 × 591,097.50
  4. Step 4: Simplify right side
    272,254.50x = 349,396,254,506.25
  5. Step 5: Solve for x
    x = 349,396,254,506.25/272,254.50
  6. Step 6: Final answer
    x = 1,283,344.28

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Why These Related Problems?

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