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Finding the Third Proportional to 469,002 and 727,161

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Solution

The third proportional to 469,002 and 727,161 is: 1,127,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,002 : 727,161 = 727,161 : x
  2. Step 2: Convert to fraction form
    469,002/727,161 = 727,161/x
  3. Step 3: Cross multiply
    469,002x = 727,161 × 727,161
  4. Step 4: Simplify right side
    469,002x = 528,763,119,921
  5. Step 5: Solve for x
    x = 528,763,119,921/469,002
  6. Step 6: Final answer
    x = 1,127,421.89

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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.