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Finding the Third Proportional to 250,612 and 584,781

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Solution

The third proportional to 250,612 and 584,781 is: 1,364,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,612 : 584,781 = 584,781 : x
  2. Step 2: Convert to fraction form
    250,612/584,781 = 584,781/x
  3. Step 3: Cross multiply
    250,612x = 584,781 × 584,781
  4. Step 4: Simplify right side
    250,612x = 341,968,817,961
  5. Step 5: Solve for x
    x = 341,968,817,961/250,612
  6. Step 6: Final answer
    x = 1,364,534.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.