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Finding the Third Proportional to 554,892 and 840,384

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Solution

The third proportional to 554,892 and 840,384 is: 1,272,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,892 : 840,384 = 840,384 : x
  2. Step 2: Convert to fraction form
    554,892/840,384 = 840,384/x
  3. Step 3: Cross multiply
    554,892x = 840,384 × 840,384
  4. Step 4: Simplify right side
    554,892x = 706,245,267,456
  5. Step 5: Solve for x
    x = 706,245,267,456/554,892
  6. Step 6: Final answer
    x = 1,272,761.67

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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.