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Finding the Third Proportional to 266,320 and 584,368

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Solution

The third proportional to 266,320 and 584,368 is: 1,282,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,320 : 584,368 = 584,368 : x
  2. Step 2: Convert to fraction form
    266,320/584,368 = 584,368/x
  3. Step 3: Cross multiply
    266,320x = 584,368 × 584,368
  4. Step 4: Simplify right side
    266,320x = 341,485,959,424
  5. Step 5: Solve for x
    x = 341,485,959,424/266,320
  6. Step 6: Final answer
    x = 1,282,239.26

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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.