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Finding the Third Proportional to 352,156.50 and 733,497

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Solution

The third proportional to 352,156.50 and 733,497 is: 1,527,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,156.50 : 733,497 = 733,497 : x
  2. Step 2: Convert to fraction form
    352,156.50/733,497 = 733,497/x
  3. Step 3: Cross multiply
    352,156.50x = 733,497 × 733,497
  4. Step 4: Simplify right side
    352,156.50x = 538,017,849,009
  5. Step 5: Solve for x
    x = 538,017,849,009/352,156.50
  6. Step 6: Final answer
    x = 1,527,780.54

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Why These Related Problems?

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