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Finding the Third Proportional to 468,027 and 706,171.50

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Solution

The third proportional to 468,027 and 706,171.50 is: 1,065,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,027 : 706,171.50 = 706,171.50 : x
  2. Step 2: Convert to fraction form
    468,027/706,171.50 = 706,171.50/x
  3. Step 3: Cross multiply
    468,027x = 706,171.50 × 706,171.50
  4. Step 4: Simplify right side
    468,027x = 498,678,187,412.25
  5. Step 5: Solve for x
    x = 498,678,187,412.25/468,027
  6. Step 6: Final answer
    x = 1,065,490.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.