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Finding the Third Proportional to 225,980 and 495,376

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Solution

The third proportional to 225,980 and 495,376 is: 1,085,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,980 : 495,376 = 495,376 : x
  2. Step 2: Convert to fraction form
    225,980/495,376 = 495,376/x
  3. Step 3: Cross multiply
    225,980x = 495,376 × 495,376
  4. Step 4: Simplify right side
    225,980x = 245,397,381,376
  5. Step 5: Solve for x
    x = 245,397,381,376/225,980
  6. Step 6: Final answer
    x = 1,085,925.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.