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Finding the Third Proportional to 352,014 and 504,438

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Solution

The third proportional to 352,014 and 504,438 is: 722,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,014 : 504,438 = 504,438 : x
  2. Step 2: Convert to fraction form
    352,014/504,438 = 504,438/x
  3. Step 3: Cross multiply
    352,014x = 504,438 × 504,438
  4. Step 4: Simplify right side
    352,014x = 254,457,695,844
  5. Step 5: Solve for x
    x = 254,457,695,844/352,014
  6. Step 6: Final answer
    x = 722,862.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.