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Finding the Third Proportional to 232,237 and 508,733

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Solution

The third proportional to 232,237 and 508,733 is: 1,114,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,237 : 508,733 = 508,733 : x
  2. Step 2: Convert to fraction form
    232,237/508,733 = 508,733/x
  3. Step 3: Cross multiply
    232,237x = 508,733 × 508,733
  4. Step 4: Simplify right side
    232,237x = 258,809,265,289
  5. Step 5: Solve for x
    x = 258,809,265,289/232,237
  6. Step 6: Final answer
    x = 1,114,418.74

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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.