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Finding the Third Proportional to 297,991.50 and 652,668

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Solution

The third proportional to 297,991.50 and 652,668 is: 1,429,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,991.50 : 652,668 = 652,668 : x
  2. Step 2: Convert to fraction form
    297,991.50/652,668 = 652,668/x
  3. Step 3: Cross multiply
    297,991.50x = 652,668 × 652,668
  4. Step 4: Simplify right side
    297,991.50x = 425,975,518,224
  5. Step 5: Solve for x
    x = 425,975,518,224/297,991.50
  6. Step 6: Final answer
    x = 1,429,488.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.