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Finding the Third Proportional to 266,825.81 and 577,938.38

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Solution

The third proportional to 266,825.81 and 577,938.38 is: 1,251,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,825.81 : 577,938.38 = 577,938.38 : x
  2. Step 2: Convert to fraction form
    266,825.81/577,938.38 = 577,938.38/x
  3. Step 3: Cross multiply
    266,825.81x = 577,938.38 × 577,938.38
  4. Step 4: Simplify right side
    266,825.81x = 334,012,765,297.64
  5. Step 5: Solve for x
    x = 334,012,765,297.64/266,825.81
  6. Step 6: Final answer
    x = 1,251,800.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.