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Finding the Third Proportional to 266,135.63 and 576,568.13

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Solution

The third proportional to 266,135.63 and 576,568.13 is: 1,249,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,135.63 : 576,568.13 = 576,568.13 : x
  2. Step 2: Convert to fraction form
    266,135.63/576,568.13 = 576,568.13/x
  3. Step 3: Cross multiply
    266,135.63x = 576,568.13 × 576,568.13
  4. Step 4: Simplify right side
    266,135.63x = 332,430,802,766.02
  5. Step 5: Solve for x
    x = 332,430,802,766.02/266,135.63
  6. Step 6: Final answer
    x = 1,249,102.98

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