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Finding the Third Proportional to 266,838.38 and 571,812.56

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Solution

The third proportional to 266,838.38 and 571,812.56 is: 1,225,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,838.38 : 571,812.56 = 571,812.56 : x
  2. Step 2: Convert to fraction form
    266,838.38/571,812.56 = 571,812.56/x
  3. Step 3: Cross multiply
    266,838.38x = 571,812.56 × 571,812.56
  4. Step 4: Simplify right side
    266,838.38x = 326,969,606,632.82
  5. Step 5: Solve for x
    x = 326,969,606,632.82/266,838.38
  6. Step 6: Final answer
    x = 1,225,347.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.