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Finding the Third Proportional to 548,263 and 822,391

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Solution

The third proportional to 548,263 and 822,391 is: 1,233,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,263 : 822,391 = 822,391 : x
  2. Step 2: Convert to fraction form
    548,263/822,391 = 822,391/x
  3. Step 3: Cross multiply
    548,263x = 822,391 × 822,391
  4. Step 4: Simplify right side
    548,263x = 676,326,956,881
  5. Step 5: Solve for x
    x = 676,326,956,881/548,263
  6. Step 6: Final answer
    x = 1,233,581.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.