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Finding the Third Proportional to 533,712 and 825,502.50

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Solution

The third proportional to 533,712 and 825,502.50 is: 1,276,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,712 : 825,502.50 = 825,502.50 : x
  2. Step 2: Convert to fraction form
    533,712/825,502.50 = 825,502.50/x
  3. Step 3: Cross multiply
    533,712x = 825,502.50 × 825,502.50
  4. Step 4: Simplify right side
    533,712x = 681,454,377,506.25
  5. Step 5: Solve for x
    x = 681,454,377,506.25/533,712
  6. Step 6: Final answer
    x = 1,276,820.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.