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Finding the Third Proportional to 352,370 and 733,924

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Solution

The third proportional to 352,370 and 733,924 is: 1,528,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,370 : 733,924 = 733,924 : x
  2. Step 2: Convert to fraction form
    352,370/733,924 = 733,924/x
  3. Step 3: Cross multiply
    352,370x = 733,924 × 733,924
  4. Step 4: Simplify right side
    352,370x = 538,644,437,776
  5. Step 5: Solve for x
    x = 538,644,437,776/352,370
  6. Step 6: Final answer
    x = 1,528,633.08

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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.