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Finding the Third Proportional to 336,652 and 495,014

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Solution

The third proportional to 336,652 and 495,014 is: 727,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,652 : 495,014 = 495,014 : x
  2. Step 2: Convert to fraction form
    336,652/495,014 = 495,014/x
  3. Step 3: Cross multiply
    336,652x = 495,014 × 495,014
  4. Step 4: Simplify right side
    336,652x = 245,038,860,196
  5. Step 5: Solve for x
    x = 245,038,860,196/336,652
  6. Step 6: Final answer
    x = 727,869.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.