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Finding the Third Proportional to 337,210 and 508,042

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Solution

The third proportional to 337,210 and 508,042 is: 765,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,210 : 508,042 = 508,042 : x
  2. Step 2: Convert to fraction form
    337,210/508,042 = 508,042/x
  3. Step 3: Cross multiply
    337,210x = 508,042 × 508,042
  4. Step 4: Simplify right side
    337,210x = 258,106,673,764
  5. Step 5: Solve for x
    x = 258,106,673,764/337,210
  6. Step 6: Final answer
    x = 765,418.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.