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Finding the Third Proportional to 266,829.19 and 571,141.13

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Solution

The third proportional to 266,829.19 and 571,141.13 is: 1,222,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,829.19 : 571,141.13 = 571,141.13 : x
  2. Step 2: Convert to fraction form
    266,829.19/571,141.13 = 571,141.13/x
  3. Step 3: Cross multiply
    266,829.19x = 571,141.13 × 571,141.13
  4. Step 4: Simplify right side
    266,829.19x = 326,202,184,666.27
  5. Step 5: Solve for x
    x = 326,202,184,666.27/266,829.19
  6. Step 6: Final answer
    x = 1,222,513.13

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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.