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Finding the Third Proportional to 469,700 and 727,446

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Solution

The third proportional to 469,700 and 727,446 is: 1,126,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,700 : 727,446 = 727,446 : x
  2. Step 2: Convert to fraction form
    469,700/727,446 = 727,446/x
  3. Step 3: Cross multiply
    469,700x = 727,446 × 727,446
  4. Step 4: Simplify right side
    469,700x = 529,177,682,916
  5. Step 5: Solve for x
    x = 529,177,682,916/469,700
  6. Step 6: Final answer
    x = 1,126,629.09

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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.