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Finding the Third Proportional to 464,864 and 717,800.25

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Solution

The third proportional to 464,864 and 717,800.25 is: 1,108,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,864 : 717,800.25 = 717,800.25 : x
  2. Step 2: Convert to fraction form
    464,864/717,800.25 = 717,800.25/x
  3. Step 3: Cross multiply
    464,864x = 717,800.25 × 717,800.25
  4. Step 4: Simplify right side
    464,864x = 515,237,198,900.06
  5. Step 5: Solve for x
    x = 515,237,198,900.06/464,864
  6. Step 6: Final answer
    x = 1,108,361.15

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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.