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Finding the Third Proportional to 474,202 and 727,092

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Solution

The third proportional to 474,202 and 727,092 is: 1,114,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,202 : 727,092 = 727,092 : x
  2. Step 2: Convert to fraction form
    474,202/727,092 = 727,092/x
  3. Step 3: Cross multiply
    474,202x = 727,092 × 727,092
  4. Step 4: Simplify right side
    474,202x = 528,662,776,464
  5. Step 5: Solve for x
    x = 528,662,776,464/474,202
  6. Step 6: Final answer
    x = 1,114,847.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.