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Finding the Third Proportional to 340,448 and 538,834

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Solution

The third proportional to 340,448 and 538,834 is: 852,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,448 : 538,834 = 538,834 : x
  2. Step 2: Convert to fraction form
    340,448/538,834 = 538,834/x
  3. Step 3: Cross multiply
    340,448x = 538,834 × 538,834
  4. Step 4: Simplify right side
    340,448x = 290,342,079,556
  5. Step 5: Solve for x
    x = 290,342,079,556/340,448
  6. Step 6: Final answer
    x = 852,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.