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Finding the Third Proportional to 176,452 and 416,478

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Solution

The third proportional to 176,452 and 416,478 is: 983,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,452 : 416,478 = 416,478 : x
  2. Step 2: Convert to fraction form
    176,452/416,478 = 416,478/x
  3. Step 3: Cross multiply
    176,452x = 416,478 × 416,478
  4. Step 4: Simplify right side
    176,452x = 173,453,924,484
  5. Step 5: Solve for x
    x = 173,453,924,484/176,452
  6. Step 6: Final answer
    x = 983,009.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.