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Finding the Third Proportional to 266,958.28 and 575,869.50

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Solution

The third proportional to 266,958.28 and 575,869.50 is: 1,242,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,958.28 : 575,869.50 = 575,869.50 : x
  2. Step 2: Convert to fraction form
    266,958.28/575,869.50 = 575,869.50/x
  3. Step 3: Cross multiply
    266,958.28x = 575,869.50 × 575,869.50
  4. Step 4: Simplify right side
    266,958.28x = 331,625,681,030.25
  5. Step 5: Solve for x
    x = 331,625,681,030.25/266,958.28
  6. Step 6: Final answer
    x = 1,242,237.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.