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Finding the Third Proportional to 401,685 and 571,059

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Solution

The third proportional to 401,685 and 571,059 is: 811,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,685 : 571,059 = 571,059 : x
  2. Step 2: Convert to fraction form
    401,685/571,059 = 571,059/x
  3. Step 3: Cross multiply
    401,685x = 571,059 × 571,059
  4. Step 4: Simplify right side
    401,685x = 326,108,381,481
  5. Step 5: Solve for x
    x = 326,108,381,481/401,685
  6. Step 6: Final answer
    x = 811,851.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.