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Finding the Third Proportional to 394,767 and 830,785.50

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Solution

The third proportional to 394,767 and 830,785.50 is: 1,748,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,767 : 830,785.50 = 830,785.50 : x
  2. Step 2: Convert to fraction form
    394,767/830,785.50 = 830,785.50/x
  3. Step 3: Cross multiply
    394,767x = 830,785.50 × 830,785.50
  4. Step 4: Simplify right side
    394,767x = 690,204,547,010.25
  5. Step 5: Solve for x
    x = 690,204,547,010.25/394,767
  6. Step 6: Final answer
    x = 1,748,384.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.