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Finding the Third Proportional to 571,500 and 862,434

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Solution

The third proportional to 571,500 and 862,434 is: 1,301,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,500 : 862,434 = 862,434 : x
  2. Step 2: Convert to fraction form
    571,500/862,434 = 862,434/x
  3. Step 3: Cross multiply
    571,500x = 862,434 × 862,434
  4. Step 4: Simplify right side
    571,500x = 743,792,404,356
  5. Step 5: Solve for x
    x = 743,792,404,356/571,500
  6. Step 6: Final answer
    x = 1,301,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.