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Finding the Third Proportional to 553,304 and 878,340

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Solution

The third proportional to 553,304 and 878,340 is: 1,394,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,304 : 878,340 = 878,340 : x
  2. Step 2: Convert to fraction form
    553,304/878,340 = 878,340/x
  3. Step 3: Cross multiply
    553,304x = 878,340 × 878,340
  4. Step 4: Simplify right side
    553,304x = 771,481,155,600
  5. Step 5: Solve for x
    x = 771,481,155,600/553,304
  6. Step 6: Final answer
    x = 1,394,316.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.