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Finding the Third Proportional to 533,604 and 813,960

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Solution

The third proportional to 533,604 and 813,960 is: 1,241,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,604 : 813,960 = 813,960 : x
  2. Step 2: Convert to fraction form
    533,604/813,960 = 813,960/x
  3. Step 3: Cross multiply
    533,604x = 813,960 × 813,960
  4. Step 4: Simplify right side
    533,604x = 662,530,881,600
  5. Step 5: Solve for x
    x = 662,530,881,600/533,604
  6. Step 6: Final answer
    x = 1,241,615.28

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Why These Related Problems?

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