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Finding the Third Proportional to 287,722.50 and 435,581.25

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Solution

The third proportional to 287,722.50 and 435,581.25 is: 659,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.50 : 435,581.25 = 435,581.25 : x
  2. Step 2: Convert to fraction form
    287,722.50/435,581.25 = 435,581.25/x
  3. Step 3: Cross multiply
    287,722.50x = 435,581.25 × 435,581.25
  4. Step 4: Simplify right side
    287,722.50x = 189,731,025,351.56
  5. Step 5: Solve for x
    x = 189,731,025,351.56/287,722.50
  6. Step 6: Final answer
    x = 659,423.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.