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Finding the Third Proportional to 384,801 and 835,318.50

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Solution

The third proportional to 384,801 and 835,318.50 is: 1,813,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,801 : 835,318.50 = 835,318.50 : x
  2. Step 2: Convert to fraction form
    384,801/835,318.50 = 835,318.50/x
  3. Step 3: Cross multiply
    384,801x = 835,318.50 × 835,318.50
  4. Step 4: Simplify right side
    384,801x = 697,756,996,442.25
  5. Step 5: Solve for x
    x = 697,756,996,442.25/384,801
  6. Step 6: Final answer
    x = 1,813,293.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.