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Finding the Third Proportional to 190,548 and 406,399.50

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Solution

The third proportional to 190,548 and 406,399.50 is: 866,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,548 : 406,399.50 = 406,399.50 : x
  2. Step 2: Convert to fraction form
    190,548/406,399.50 = 406,399.50/x
  3. Step 3: Cross multiply
    190,548x = 406,399.50 × 406,399.50
  4. Step 4: Simplify right side
    190,548x = 165,160,553,600.25
  5. Step 5: Solve for x
    x = 165,160,553,600.25/190,548
  6. Step 6: Final answer
    x = 866,766.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.