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Finding the Third Proportional to 469,322.25 and 727,041.66

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Solution

The third proportional to 469,322.25 and 727,041.66 is: 1,126,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,322.25 : 727,041.66 = 727,041.66 : x
  2. Step 2: Convert to fraction form
    469,322.25/727,041.66 = 727,041.66/x
  3. Step 3: Cross multiply
    469,322.25x = 727,041.66 × 727,041.66
  4. Step 4: Simplify right side
    469,322.25x = 528,589,569,922.74
  5. Step 5: Solve for x
    x = 528,589,569,922.74/469,322.25
  6. Step 6: Final answer
    x = 1,126,282.78

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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.