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Finding the Third Proportional to 368,493 and 781,273.50

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Solution

The third proportional to 368,493 and 781,273.50 is: 1,656,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,493 : 781,273.50 = 781,273.50 : x
  2. Step 2: Convert to fraction form
    368,493/781,273.50 = 781,273.50/x
  3. Step 3: Cross multiply
    368,493x = 781,273.50 × 781,273.50
  4. Step 4: Simplify right side
    368,493x = 610,388,281,802.25
  5. Step 5: Solve for x
    x = 610,388,281,802.25/368,493
  6. Step 6: Final answer
    x = 1,656,444.71

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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.