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Finding the Third Proportional to 469,692 and 727,434

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Solution

The third proportional to 469,692 and 727,434 is: 1,126,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,692 : 727,434 = 727,434 : x
  2. Step 2: Convert to fraction form
    469,692/727,434 = 727,434/x
  3. Step 3: Cross multiply
    469,692x = 727,434 × 727,434
  4. Step 4: Simplify right side
    469,692x = 529,160,224,356
  5. Step 5: Solve for x
    x = 529,160,224,356/469,692
  6. Step 6: Final answer
    x = 1,126,611.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.