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Finding the Third Proportional to 197,851 and 466,580

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Solution

The third proportional to 197,851 and 466,580 is: 1,100,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,851 : 466,580 = 466,580 : x
  2. Step 2: Convert to fraction form
    197,851/466,580 = 466,580/x
  3. Step 3: Cross multiply
    197,851x = 466,580 × 466,580
  4. Step 4: Simplify right side
    197,851x = 217,696,896,400
  5. Step 5: Solve for x
    x = 217,696,896,400/197,851
  6. Step 6: Final answer
    x = 1,100,307.28

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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.