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Finding the Third Proportional to 464,859.75 and 717,792.75

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Solution

The third proportional to 464,859.75 and 717,792.75 is: 1,108,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,859.75 : 717,792.75 = 717,792.75 : x
  2. Step 2: Convert to fraction form
    464,859.75/717,792.75 = 717,792.75/x
  3. Step 3: Cross multiply
    464,859.75x = 717,792.75 × 717,792.75
  4. Step 4: Simplify right side
    464,859.75x = 515,226,431,952.56
  5. Step 5: Solve for x
    x = 515,226,431,952.56/464,859.75
  6. Step 6: Final answer
    x = 1,108,348.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.