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Finding the Third Proportional to 244,442.81 and 529,588.13

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Solution

The third proportional to 244,442.81 and 529,588.13 is: 1,147,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,442.81 : 529,588.13 = 529,588.13 : x
  2. Step 2: Convert to fraction form
    244,442.81/529,588.13 = 529,588.13/x
  3. Step 3: Cross multiply
    244,442.81x = 529,588.13 × 529,588.13
  4. Step 4: Simplify right side
    244,442.81x = 280,463,582,141.02
  5. Step 5: Solve for x
    x = 280,463,582,141.02/244,442.81
  6. Step 6: Final answer
    x = 1,147,358.68

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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.