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Finding the Third Proportional to 266,176 and 576,656

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Solution

The third proportional to 266,176 and 576,656 is: 1,249,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,176 : 576,656 = 576,656 : x
  2. Step 2: Convert to fraction form
    266,176/576,656 = 576,656/x
  3. Step 3: Cross multiply
    266,176x = 576,656 × 576,656
  4. Step 4: Simplify right side
    266,176x = 332,532,142,336
  5. Step 5: Solve for x
    x = 332,532,142,336/266,176
  6. Step 6: Final answer
    x = 1,249,294.24

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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.