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Finding the Third Proportional to 550,564 and 833,439

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Solution

The third proportional to 550,564 and 833,439 is: 1,261,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,564 : 833,439 = 833,439 : x
  2. Step 2: Convert to fraction form
    550,564/833,439 = 833,439/x
  3. Step 3: Cross multiply
    550,564x = 833,439 × 833,439
  4. Step 4: Simplify right side
    550,564x = 694,620,566,721
  5. Step 5: Solve for x
    x = 694,620,566,721/550,564
  6. Step 6: Final answer
    x = 1,261,652.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.