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Finding the Third Proportional to 224,332 and 495,324

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Solution

The third proportional to 224,332 and 495,324 is: 1,093,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,332 : 495,324 = 495,324 : x
  2. Step 2: Convert to fraction form
    224,332/495,324 = 495,324/x
  3. Step 3: Cross multiply
    224,332x = 495,324 × 495,324
  4. Step 4: Simplify right side
    224,332x = 245,345,864,976
  5. Step 5: Solve for x
    x = 245,345,864,976/224,332
  6. Step 6: Final answer
    x = 1,093,673.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.