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Finding the Third Proportional to 438,216 and 673,153.50

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Solution

The third proportional to 438,216 and 673,153.50 is: 1,034,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,216 : 673,153.50 = 673,153.50 : x
  2. Step 2: Convert to fraction form
    438,216/673,153.50 = 673,153.50/x
  3. Step 3: Cross multiply
    438,216x = 673,153.50 × 673,153.50
  4. Step 4: Simplify right side
    438,216x = 453,135,634,562.25
  5. Step 5: Solve for x
    x = 453,135,634,562.25/438,216
  6. Step 6: Final answer
    x = 1,034,046.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.