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Finding the Third Proportional to 290,809.50 and 418,854

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Solution

The third proportional to 290,809.50 and 418,854 is: 603,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,809.50 : 418,854 = 418,854 : x
  2. Step 2: Convert to fraction form
    290,809.50/418,854 = 418,854/x
  3. Step 3: Cross multiply
    290,809.50x = 418,854 × 418,854
  4. Step 4: Simplify right side
    290,809.50x = 175,438,673,316
  5. Step 5: Solve for x
    x = 175,438,673,316/290,809.50
  6. Step 6: Final answer
    x = 603,276.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.