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Finding the Third Proportional to 229,410 and 495,720

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Solution

The third proportional to 229,410 and 495,720 is: 1,071,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410 : 495,720 = 495,720 : x
  2. Step 2: Convert to fraction form
    229,410/495,720 = 495,720/x
  3. Step 3: Cross multiply
    229,410x = 495,720 × 495,720
  4. Step 4: Simplify right side
    229,410x = 245,738,318,400
  5. Step 5: Solve for x
    x = 245,738,318,400/229,410
  6. Step 6: Final answer
    x = 1,071,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.