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Finding the Third Proportional to 229,520 and 495,296

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Solution

The third proportional to 229,520 and 495,296 is: 1,068,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,520 : 495,296 = 495,296 : x
  2. Step 2: Convert to fraction form
    229,520/495,296 = 495,296/x
  3. Step 3: Cross multiply
    229,520x = 495,296 × 495,296
  4. Step 4: Simplify right side
    229,520x = 245,318,127,616
  5. Step 5: Solve for x
    x = 245,318,127,616/229,520
  6. Step 6: Final answer
    x = 1,068,831.16

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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.