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Finding the Third Proportional to 261,371.95 and 406,965.80

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Solution

The third proportional to 261,371.95 and 406,965.80 is: 633,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,371.95 : 406,965.80 = 406,965.80 : x
  2. Step 2: Convert to fraction form
    261,371.95/406,965.80 = 406,965.80/x
  3. Step 3: Cross multiply
    261,371.95x = 406,965.80 × 406,965.80
  4. Step 4: Simplify right side
    261,371.95x = 165,621,159,826.10
  5. Step 5: Solve for x
    x = 165,621,159,826.10/261,371.95
  6. Step 6: Final answer
    x = 633,660.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.