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Finding the Third Proportional to 352,392 and 502,344

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Solution

The third proportional to 352,392 and 502,344 is: 716,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,392 : 502,344 = 502,344 : x
  2. Step 2: Convert to fraction form
    352,392/502,344 = 502,344/x
  3. Step 3: Cross multiply
    352,392x = 502,344 × 502,344
  4. Step 4: Simplify right side
    352,392x = 252,349,494,336
  5. Step 5: Solve for x
    x = 252,349,494,336/352,392
  6. Step 6: Final answer
    x = 716,104.49

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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.