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Finding the Third Proportional to 233,350 and 508,935

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Solution

The third proportional to 233,350 and 508,935 is: 1,109,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,350 : 508,935 = 508,935 : x
  2. Step 2: Convert to fraction form
    233,350/508,935 = 508,935/x
  3. Step 3: Cross multiply
    233,350x = 508,935 × 508,935
  4. Step 4: Simplify right side
    233,350x = 259,014,834,225
  5. Step 5: Solve for x
    x = 259,014,834,225/233,350
  6. Step 6: Final answer
    x = 1,109,984.29

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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.