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Finding the Third Proportional to 266,152 and 576,602

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Solution

The third proportional to 266,152 and 576,602 is: 1,249,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,152 : 576,602 = 576,602 : x
  2. Step 2: Convert to fraction form
    266,152/576,602 = 576,602/x
  3. Step 3: Cross multiply
    266,152x = 576,602 × 576,602
  4. Step 4: Simplify right side
    266,152x = 332,469,866,404
  5. Step 5: Solve for x
    x = 332,469,866,404/266,152
  6. Step 6: Final answer
    x = 1,249,172.90

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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.