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Finding the Third Proportional to 244,513.69 and 524,864.81

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Solution

The third proportional to 244,513.69 and 524,864.81 is: 1,126,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,513.69 : 524,864.81 = 524,864.81 : x
  2. Step 2: Convert to fraction form
    244,513.69/524,864.81 = 524,864.81/x
  3. Step 3: Cross multiply
    244,513.69x = 524,864.81 × 524,864.81
  4. Step 4: Simplify right side
    244,513.69x = 275,483,071,400.66
  5. Step 5: Solve for x
    x = 275,483,071,400.66/244,513.69
  6. Step 6: Final answer
    x = 1,126,657.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.