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Finding the Third Proportional to 266,938.69 and 556,020.75

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Solution

The third proportional to 266,938.69 and 556,020.75 is: 1,158,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,938.69 : 556,020.75 = 556,020.75 : x
  2. Step 2: Convert to fraction form
    266,938.69/556,020.75 = 556,020.75/x
  3. Step 3: Cross multiply
    266,938.69x = 556,020.75 × 556,020.75
  4. Step 4: Simplify right side
    266,938.69x = 309,159,074,430.56
  5. Step 5: Solve for x
    x = 309,159,074,430.56/266,938.69
  6. Step 6: Final answer
    x = 1,158,165.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.