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Finding the Third Proportional to 233,352 and 508,939

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Solution

The third proportional to 233,352 and 508,939 is: 1,109,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,352 : 508,939 = 508,939 : x
  2. Step 2: Convert to fraction form
    233,352/508,939 = 508,939/x
  3. Step 3: Cross multiply
    233,352x = 508,939 × 508,939
  4. Step 4: Simplify right side
    233,352x = 259,018,905,721
  5. Step 5: Solve for x
    x = 259,018,905,721/233,352
  6. Step 6: Final answer
    x = 1,109,992.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.