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Finding the Third Proportional to 638,289 and 945,109.50

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Solution

The third proportional to 638,289 and 945,109.50 is: 1,399,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,289 : 945,109.50 = 945,109.50 : x
  2. Step 2: Convert to fraction form
    638,289/945,109.50 = 945,109.50/x
  3. Step 3: Cross multiply
    638,289x = 945,109.50 × 945,109.50
  4. Step 4: Simplify right side
    638,289x = 893,231,966,990.25
  5. Step 5: Solve for x
    x = 893,231,966,990.25/638,289
  6. Step 6: Final answer
    x = 1,399,416.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.