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Finding the Third Proportional to 533,452 and 817,996

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Solution

The third proportional to 533,452 and 817,996 is: 1,254,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,452 : 817,996 = 817,996 : x
  2. Step 2: Convert to fraction form
    533,452/817,996 = 817,996/x
  3. Step 3: Cross multiply
    533,452x = 817,996 × 817,996
  4. Step 4: Simplify right side
    533,452x = 669,117,456,016
  5. Step 5: Solve for x
    x = 669,117,456,016/533,452
  6. Step 6: Final answer
    x = 1,254,316.14

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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.