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Finding the Third Proportional to 293,544 and 643,344

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Solution

The third proportional to 293,544 and 643,344 is: 1,409,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,544 : 643,344 = 643,344 : x
  2. Step 2: Convert to fraction form
    293,544/643,344 = 643,344/x
  3. Step 3: Cross multiply
    293,544x = 643,344 × 643,344
  4. Step 4: Simplify right side
    293,544x = 413,891,502,336
  5. Step 5: Solve for x
    x = 413,891,502,336/293,544
  6. Step 6: Final answer
    x = 1,409,981.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.