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Finding the Third Proportional to 521,806.50 and 807,360.75

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Solution

The third proportional to 521,806.50 and 807,360.75 is: 1,249,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,806.50 : 807,360.75 = 807,360.75 : x
  2. Step 2: Convert to fraction form
    521,806.50/807,360.75 = 807,360.75/x
  3. Step 3: Cross multiply
    521,806.50x = 807,360.75 × 807,360.75
  4. Step 4: Simplify right side
    521,806.50x = 651,831,380,640.56
  5. Step 5: Solve for x
    x = 651,831,380,640.56/521,806.50
  6. Step 6: Final answer
    x = 1,249,182.18

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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.