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Finding the Third Proportional to 272,972.50 and 590,657

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Solution

The third proportional to 272,972.50 and 590,657 is: 1,278,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,972.50 : 590,657 = 590,657 : x
  2. Step 2: Convert to fraction form
    272,972.50/590,657 = 590,657/x
  3. Step 3: Cross multiply
    272,972.50x = 590,657 × 590,657
  4. Step 4: Simplify right side
    272,972.50x = 348,875,691,649
  5. Step 5: Solve for x
    x = 348,875,691,649/272,972.50
  6. Step 6: Final answer
    x = 1,278,061.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.