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Finding the Third Proportional to 401,010.75 and 564,215.63

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Solution

The third proportional to 401,010.75 and 564,215.63 is: 793,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,010.75 : 564,215.63 = 564,215.63 : x
  2. Step 2: Convert to fraction form
    401,010.75/564,215.63 = 564,215.63/x
  3. Step 3: Cross multiply
    401,010.75x = 564,215.63 × 564,215.63
  4. Step 4: Simplify right side
    401,010.75x = 318,339,271,494.14
  5. Step 5: Solve for x
    x = 318,339,271,494.14/401,010.75
  6. Step 6: Final answer
    x = 793,842.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.