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Finding the Third Proportional to 266,175 and 576,639

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Solution

The third proportional to 266,175 and 576,639 is: 1,249,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,175 : 576,639 = 576,639 : x
  2. Step 2: Convert to fraction form
    266,175/576,639 = 576,639/x
  3. Step 3: Cross multiply
    266,175x = 576,639 × 576,639
  4. Step 4: Simplify right side
    266,175x = 332,512,536,321
  5. Step 5: Solve for x
    x = 332,512,536,321/266,175
  6. Step 6: Final answer
    x = 1,249,225.27

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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.