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Finding the Third Proportional to 401,687 and 571,062

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Solution

The third proportional to 401,687 and 571,062 is: 811,855.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,687 : 571,062 = 571,062 : x
  2. Step 2: Convert to fraction form
    401,687/571,062 = 571,062/x
  3. Step 3: Cross multiply
    401,687x = 571,062 × 571,062
  4. Step 4: Simplify right side
    401,687x = 326,111,807,844
  5. Step 5: Solve for x
    x = 326,111,807,844/401,687
  6. Step 6: Final answer
    x = 811,855.52

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