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Finding the Third Proportional to 272,025 and 590,787

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Solution

The third proportional to 272,025 and 590,787 is: 1,283,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,025 : 590,787 = 590,787 : x
  2. Step 2: Convert to fraction form
    272,025/590,787 = 590,787/x
  3. Step 3: Cross multiply
    272,025x = 590,787 × 590,787
  4. Step 4: Simplify right side
    272,025x = 349,029,279,369
  5. Step 5: Solve for x
    x = 349,029,279,369/272,025
  6. Step 6: Final answer
    x = 1,283,077.95

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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.