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Finding the Third Proportional to 343,664 and 504,192

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Solution

The third proportional to 343,664 and 504,192 is: 739,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,664 : 504,192 = 504,192 : x
  2. Step 2: Convert to fraction form
    343,664/504,192 = 504,192/x
  3. Step 3: Cross multiply
    343,664x = 504,192 × 504,192
  4. Step 4: Simplify right side
    343,664x = 254,209,572,864
  5. Step 5: Solve for x
    x = 254,209,572,864/343,664
  6. Step 6: Final answer
    x = 739,703.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.