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Finding the Third Proportional to 266,272 and 584,120

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Solution

The third proportional to 266,272 and 584,120 is: 1,281,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,272 : 584,120 = 584,120 : x
  2. Step 2: Convert to fraction form
    266,272/584,120 = 584,120/x
  3. Step 3: Cross multiply
    266,272x = 584,120 × 584,120
  4. Step 4: Simplify right side
    266,272x = 341,196,174,400
  5. Step 5: Solve for x
    x = 341,196,174,400/266,272
  6. Step 6: Final answer
    x = 1,281,382.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.