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Finding the Third Proportional to 470,488.50 and 733,819.50

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Solution

The third proportional to 470,488.50 and 733,819.50 is: 1,144,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,488.50 : 733,819.50 = 733,819.50 : x
  2. Step 2: Convert to fraction form
    470,488.50/733,819.50 = 733,819.50/x
  3. Step 3: Cross multiply
    470,488.50x = 733,819.50 × 733,819.50
  4. Step 4: Simplify right side
    470,488.50x = 538,491,058,580.25
  5. Step 5: Solve for x
    x = 538,491,058,580.25/470,488.50
  6. Step 6: Final answer
    x = 1,144,536.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.