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Finding the Third Proportional to 290,713.50 and 623,454

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Solution

The third proportional to 290,713.50 and 623,454 is: 1,337,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713.50 : 623,454 = 623,454 : x
  2. Step 2: Convert to fraction form
    290,713.50/623,454 = 623,454/x
  3. Step 3: Cross multiply
    290,713.50x = 623,454 × 623,454
  4. Step 4: Simplify right side
    290,713.50x = 388,694,890,116
  5. Step 5: Solve for x
    x = 388,694,890,116/290,713.50
  6. Step 6: Final answer
    x = 1,337,037.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.