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Finding the Third Proportional to 400,171.50 and 610,420.50

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Solution

The third proportional to 400,171.50 and 610,420.50 is: 931,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,171.50 : 610,420.50 = 610,420.50 : x
  2. Step 2: Convert to fraction form
    400,171.50/610,420.50 = 610,420.50/x
  3. Step 3: Cross multiply
    400,171.50x = 610,420.50 × 610,420.50
  4. Step 4: Simplify right side
    400,171.50x = 372,613,186,820.25
  5. Step 5: Solve for x
    x = 372,613,186,820.25/400,171.50
  6. Step 6: Final answer
    x = 931,133.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.