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Finding the Third Proportional to 229,536 and 495,328

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Solution

The third proportional to 229,536 and 495,328 is: 1,068,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,536 : 495,328 = 495,328 : x
  2. Step 2: Convert to fraction form
    229,536/495,328 = 495,328/x
  3. Step 3: Cross multiply
    229,536x = 495,328 × 495,328
  4. Step 4: Simplify right side
    229,536x = 245,349,827,584
  5. Step 5: Solve for x
    x = 245,349,827,584/229,536
  6. Step 6: Final answer
    x = 1,068,894.76

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