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Finding the Third Proportional to 533,428 and 825,702

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Solution

The third proportional to 533,428 and 825,702 is: 1,278,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,428 : 825,702 = 825,702 : x
  2. Step 2: Convert to fraction form
    533,428/825,702 = 825,702/x
  3. Step 3: Cross multiply
    533,428x = 825,702 × 825,702
  4. Step 4: Simplify right side
    533,428x = 681,783,792,804
  5. Step 5: Solve for x
    x = 681,783,792,804/533,428
  6. Step 6: Final answer
    x = 1,278,117.75

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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.