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Finding the Third Proportional to 244,867.13 and 514,521.38

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Solution

The third proportional to 244,867.13 and 514,521.38 is: 1,081,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,867.13 : 514,521.38 = 514,521.38 : x
  2. Step 2: Convert to fraction form
    244,867.13/514,521.38 = 514,521.38/x
  3. Step 3: Cross multiply
    244,867.13x = 514,521.38 × 514,521.38
  4. Step 4: Simplify right side
    244,867.13x = 264,732,245,331.89
  5. Step 5: Solve for x
    x = 264,732,245,331.89/244,867.13
  6. Step 6: Final answer
    x = 1,081,126.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.