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Finding the Third Proportional to 469,208.50 and 727,141

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Solution

The third proportional to 469,208.50 and 727,141 is: 1,126,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,208.50 : 727,141 = 727,141 : x
  2. Step 2: Convert to fraction form
    469,208.50/727,141 = 727,141/x
  3. Step 3: Cross multiply
    469,208.50x = 727,141 × 727,141
  4. Step 4: Simplify right side
    469,208.50x = 528,734,033,881
  5. Step 5: Solve for x
    x = 528,734,033,881/469,208.50
  6. Step 6: Final answer
    x = 1,126,863.72

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