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Finding the Third Proportional to 486,729 and 726,043.50

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Solution

The third proportional to 486,729 and 726,043.50 is: 1,083,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,729 : 726,043.50 = 726,043.50 : x
  2. Step 2: Convert to fraction form
    486,729/726,043.50 = 726,043.50/x
  3. Step 3: Cross multiply
    486,729x = 726,043.50 × 726,043.50
  4. Step 4: Simplify right side
    486,729x = 527,139,163,892.25
  5. Step 5: Solve for x
    x = 527,139,163,892.25/486,729
  6. Step 6: Final answer
    x = 1,083,023.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.