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Finding the Third Proportional to 690,440 and 932,832

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Solution

The third proportional to 690,440 and 932,832 is: 1,260,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,440 : 932,832 = 932,832 : x
  2. Step 2: Convert to fraction form
    690,440/932,832 = 932,832/x
  3. Step 3: Cross multiply
    690,440x = 932,832 × 932,832
  4. Step 4: Simplify right side
    690,440x = 870,175,540,224
  5. Step 5: Solve for x
    x = 870,175,540,224/690,440
  6. Step 6: Final answer
    x = 1,260,320.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.