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Finding the Third Proportional to 352,158 and 733,498.50

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Solution

The third proportional to 352,158 and 733,498.50 is: 1,527,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,158 : 733,498.50 = 733,498.50 : x
  2. Step 2: Convert to fraction form
    352,158/733,498.50 = 733,498.50/x
  3. Step 3: Cross multiply
    352,158x = 733,498.50 × 733,498.50
  4. Step 4: Simplify right side
    352,158x = 538,020,049,502.25
  5. Step 5: Solve for x
    x = 538,020,049,502.25/352,158
  6. Step 6: Final answer
    x = 1,527,780.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.