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Finding the Third Proportional to 633,908 and 863,382

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Solution

The third proportional to 633,908 and 863,382 is: 1,175,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,908 : 863,382 = 863,382 : x
  2. Step 2: Convert to fraction form
    633,908/863,382 = 863,382/x
  3. Step 3: Cross multiply
    633,908x = 863,382 × 863,382
  4. Step 4: Simplify right side
    633,908x = 745,428,477,924
  5. Step 5: Solve for x
    x = 745,428,477,924/633,908
  6. Step 6: Final answer
    x = 1,175,925.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.