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Finding the Third Proportional to 469,323.50 and 727,043

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Solution

The third proportional to 469,323.50 and 727,043 is: 1,126,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,323.50 : 727,043 = 727,043 : x
  2. Step 2: Convert to fraction form
    469,323.50/727,043 = 727,043/x
  3. Step 3: Cross multiply
    469,323.50x = 727,043 × 727,043
  4. Step 4: Simplify right side
    469,323.50x = 528,591,523,849
  5. Step 5: Solve for x
    x = 528,591,523,849/469,323.50
  6. Step 6: Final answer
    x = 1,126,283.95

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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.