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Finding the Third Proportional to 532,759.50 and 814,994.50

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Solution

The third proportional to 532,759.50 and 814,994.50 is: 1,246,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,759.50 : 814,994.50 = 814,994.50 : x
  2. Step 2: Convert to fraction form
    532,759.50/814,994.50 = 814,994.50/x
  3. Step 3: Cross multiply
    532,759.50x = 814,994.50 × 814,994.50
  4. Step 4: Simplify right side
    532,759.50x = 664,216,035,030.25
  5. Step 5: Solve for x
    x = 664,216,035,030.25/532,759.50
  6. Step 6: Final answer
    x = 1,246,746.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.