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Finding the Third Proportional to 757,924.50 and 1,107,316.88

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Solution

The third proportional to 757,924.50 and 1,107,316.88 is: 1,617,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,924.50 : 1,107,316.88 = 1,107,316.88 : x
  2. Step 2: Convert to fraction form
    757,924.50/1,107,316.88 = 1,107,316.88/x
  3. Step 3: Cross multiply
    757,924.50x = 1,107,316.88 × 1,107,316.88
  4. Step 4: Simplify right side
    757,924.50x = 1,226,150,661,659.77
  5. Step 5: Solve for x
    x = 1,226,150,661,659.77/757,924.50
  6. Step 6: Final answer
    x = 1,617,774.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.