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Finding the Third Proportional to 266,106.94 and 576,505.69

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Solution

The third proportional to 266,106.94 and 576,505.69 is: 1,248,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,106.94 : 576,505.69 = 576,505.69 : x
  2. Step 2: Convert to fraction form
    266,106.94/576,505.69 = 576,505.69/x
  3. Step 3: Cross multiply
    266,106.94x = 576,505.69 × 576,505.69
  4. Step 4: Simplify right side
    266,106.94x = 332,358,807,719.85
  5. Step 5: Solve for x
    x = 332,358,807,719.85/266,106.94
  6. Step 6: Final answer
    x = 1,248,967.09

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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.