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Finding the Third Proportional to 650,272.50 and 863,061.75

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Solution

The third proportional to 650,272.50 and 863,061.75 is: 1,145,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,272.50 : 863,061.75 = 863,061.75 : x
  2. Step 2: Convert to fraction form
    650,272.50/863,061.75 = 863,061.75/x
  3. Step 3: Cross multiply
    650,272.50x = 863,061.75 × 863,061.75
  4. Step 4: Simplify right side
    650,272.50x = 744,875,584,313.06
  5. Step 5: Solve for x
    x = 744,875,584,313.06/650,272.50
  6. Step 6: Final answer
    x = 1,145,482.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.