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Finding the Third Proportional to 266,150 and 576,594

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Solution

The third proportional to 266,150 and 576,594 is: 1,249,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,150 : 576,594 = 576,594 : x
  2. Step 2: Convert to fraction form
    266,150/576,594 = 576,594/x
  3. Step 3: Cross multiply
    266,150x = 576,594 × 576,594
  4. Step 4: Simplify right side
    266,150x = 332,460,640,836
  5. Step 5: Solve for x
    x = 332,460,640,836/266,150
  6. Step 6: Final answer
    x = 1,249,147.63

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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.