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Finding the Third Proportional to 232,234 and 508,726

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Solution

The third proportional to 232,234 and 508,726 is: 1,114,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,234 : 508,726 = 508,726 : x
  2. Step 2: Convert to fraction form
    232,234/508,726 = 508,726/x
  3. Step 3: Cross multiply
    232,234x = 508,726 × 508,726
  4. Step 4: Simplify right side
    232,234x = 258,802,143,076
  5. Step 5: Solve for x
    x = 258,802,143,076/232,234
  6. Step 6: Final answer
    x = 1,114,402.47

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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.