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Finding the Third Proportional to 259,089.75 and 562,433.75

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Solution

The third proportional to 259,089.75 and 562,433.75 is: 1,220,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,089.75 : 562,433.75 = 562,433.75 : x
  2. Step 2: Convert to fraction form
    259,089.75/562,433.75 = 562,433.75/x
  3. Step 3: Cross multiply
    259,089.75x = 562,433.75 × 562,433.75
  4. Step 4: Simplify right side
    259,089.75x = 316,331,723,139.06
  5. Step 5: Solve for x
    x = 316,331,723,139.06/259,089.75
  6. Step 6: Final answer
    x = 1,220,934.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.