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Finding the Third Proportional to 262,323 and 564,781

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Solution

The third proportional to 262,323 and 564,781 is: 1,215,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,323 : 564,781 = 564,781 : x
  2. Step 2: Convert to fraction form
    262,323/564,781 = 564,781/x
  3. Step 3: Cross multiply
    262,323x = 564,781 × 564,781
  4. Step 4: Simplify right side
    262,323x = 318,977,577,961
  5. Step 5: Solve for x
    x = 318,977,577,961/262,323
  6. Step 6: Final answer
    x = 1,215,972.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.