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Finding the Third Proportional to 232,785 and 371,929

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Solution

The third proportional to 232,785 and 371,929 is: 594,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,785 : 371,929 = 371,929 : x
  2. Step 2: Convert to fraction form
    232,785/371,929 = 371,929/x
  3. Step 3: Cross multiply
    232,785x = 371,929 × 371,929
  4. Step 4: Simplify right side
    232,785x = 138,331,181,041
  5. Step 5: Solve for x
    x = 138,331,181,041/232,785
  6. Step 6: Final answer
    x = 594,244.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.