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Finding the Third Proportional to 297,061.50 and 641,476.50

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Solution

The third proportional to 297,061.50 and 641,476.50 is: 1,385,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,061.50 : 641,476.50 = 641,476.50 : x
  2. Step 2: Convert to fraction form
    297,061.50/641,476.50 = 641,476.50/x
  3. Step 3: Cross multiply
    297,061.50x = 641,476.50 × 641,476.50
  4. Step 4: Simplify right side
    297,061.50x = 411,492,100,052.25
  5. Step 5: Solve for x
    x = 411,492,100,052.25/297,061.50
  6. Step 6: Final answer
    x = 1,385,208.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.