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Finding the Third Proportional to 290,651 and 390,589.50

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Solution

The third proportional to 290,651 and 390,589.50 is: 524,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,651 : 390,589.50 = 390,589.50 : x
  2. Step 2: Convert to fraction form
    290,651/390,589.50 = 390,589.50/x
  3. Step 3: Cross multiply
    290,651x = 390,589.50 × 390,589.50
  4. Step 4: Simplify right side
    290,651x = 152,560,157,510.25
  5. Step 5: Solve for x
    x = 152,560,157,510.25/290,651
  6. Step 6: Final answer
    x = 524,891.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.