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Finding the Third Proportional to 445,981.50 and 635,756.25

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Solution

The third proportional to 445,981.50 and 635,756.25 is: 906,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,981.50 : 635,756.25 = 635,756.25 : x
  2. Step 2: Convert to fraction form
    445,981.50/635,756.25 = 635,756.25/x
  3. Step 3: Cross multiply
    445,981.50x = 635,756.25 × 635,756.25
  4. Step 4: Simplify right side
    445,981.50x = 404,186,009,414.06
  5. Step 5: Solve for x
    x = 404,186,009,414.06/445,981.50
  6. Step 6: Final answer
    x = 906,284.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.