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Finding the Third Proportional to 584,793 and 881,509

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Solution

The third proportional to 584,793 and 881,509 is: 1,328,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,793 : 881,509 = 881,509 : x
  2. Step 2: Convert to fraction form
    584,793/881,509 = 881,509/x
  3. Step 3: Cross multiply
    584,793x = 881,509 × 881,509
  4. Step 4: Simplify right side
    584,793x = 777,058,117,081
  5. Step 5: Solve for x
    x = 777,058,117,081/584,793
  6. Step 6: Final answer
    x = 1,328,774.66

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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.