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Finding the Third Proportional to 266,273 and 584,122

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Solution

The third proportional to 266,273 and 584,122 is: 1,281,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,273 : 584,122 = 584,122 : x
  2. Step 2: Convert to fraction form
    266,273/584,122 = 584,122/x
  3. Step 3: Cross multiply
    266,273x = 584,122 × 584,122
  4. Step 4: Simplify right side
    266,273x = 341,198,510,884
  5. Step 5: Solve for x
    x = 341,198,510,884/266,273
  6. Step 6: Final answer
    x = 1,281,386.06

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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.