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Finding the Third Proportional to 266,140 and 576,576

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Solution

The third proportional to 266,140 and 576,576 is: 1,249,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,140 : 576,576 = 576,576 : x
  2. Step 2: Convert to fraction form
    266,140/576,576 = 576,576/x
  3. Step 3: Cross multiply
    266,140x = 576,576 × 576,576
  4. Step 4: Simplify right side
    266,140x = 332,439,883,776
  5. Step 5: Solve for x
    x = 332,439,883,776/266,140
  6. Step 6: Final answer
    x = 1,249,116.57

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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.