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Finding the Third Proportional to 584,826 and 881,559

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Solution

The third proportional to 584,826 and 881,559 is: 1,328,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,826 : 881,559 = 881,559 : x
  2. Step 2: Convert to fraction form
    584,826/881,559 = 881,559/x
  3. Step 3: Cross multiply
    584,826x = 881,559 × 881,559
  4. Step 4: Simplify right side
    584,826x = 777,146,270,481
  5. Step 5: Solve for x
    x = 777,146,270,481/584,826
  6. Step 6: Final answer
    x = 1,328,850.41

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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.