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Finding the Third Proportional to 401,693 and 571,071

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Solution

The third proportional to 401,693 and 571,071 is: 811,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,693 : 571,071 = 571,071 : x
  2. Step 2: Convert to fraction form
    401,693/571,071 = 571,071/x
  3. Step 3: Cross multiply
    401,693x = 571,071 × 571,071
  4. Step 4: Simplify right side
    401,693x = 326,122,087,041
  5. Step 5: Solve for x
    x = 326,122,087,041/401,693
  6. Step 6: Final answer
    x = 811,868.98

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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.