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Finding the Third Proportional to 434,987.50 and 922,199

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Solution

The third proportional to 434,987.50 and 922,199 is: 1,955,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,987.50 : 922,199 = 922,199 : x
  2. Step 2: Convert to fraction form
    434,987.50/922,199 = 922,199/x
  3. Step 3: Cross multiply
    434,987.50x = 922,199 × 922,199
  4. Step 4: Simplify right side
    434,987.50x = 850,450,995,601
  5. Step 5: Solve for x
    x = 850,450,995,601/434,987.50
  6. Step 6: Final answer
    x = 1,955,115.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.