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Finding the Third Proportional to 262,448.50 and 571,566

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Solution

The third proportional to 262,448.50 and 571,566 is: 1,244,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,448.50 : 571,566 = 571,566 : x
  2. Step 2: Convert to fraction form
    262,448.50/571,566 = 571,566/x
  3. Step 3: Cross multiply
    262,448.50x = 571,566 × 571,566
  4. Step 4: Simplify right side
    262,448.50x = 326,687,692,356
  5. Step 5: Solve for x
    x = 326,687,692,356/262,448.50
  6. Step 6: Final answer
    x = 1,244,768.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.