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Finding the Third Proportional to 607,680 and 943,376

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Solution

The third proportional to 607,680 and 943,376 is: 1,464,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,680 : 943,376 = 943,376 : x
  2. Step 2: Convert to fraction form
    607,680/943,376 = 943,376/x
  3. Step 3: Cross multiply
    607,680x = 943,376 × 943,376
  4. Step 4: Simplify right side
    607,680x = 889,958,277,376
  5. Step 5: Solve for x
    x = 889,958,277,376/607,680
  6. Step 6: Final answer
    x = 1,464,517.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.