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Finding the Third Proportional to 533,711 and 811,565

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Solution

The third proportional to 533,711 and 811,565 is: 1,234,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,711 : 811,565 = 811,565 : x
  2. Step 2: Convert to fraction form
    533,711/811,565 = 811,565/x
  3. Step 3: Cross multiply
    533,711x = 811,565 × 811,565
  4. Step 4: Simplify right side
    533,711x = 658,637,749,225
  5. Step 5: Solve for x
    x = 658,637,749,225/533,711
  6. Step 6: Final answer
    x = 1,234,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.