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Finding the Third Proportional to 235,728 and 508,806

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Solution

The third proportional to 235,728 and 508,806 is: 1,098,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,728 : 508,806 = 508,806 : x
  2. Step 2: Convert to fraction form
    235,728/508,806 = 508,806/x
  3. Step 3: Cross multiply
    235,728x = 508,806 × 508,806
  4. Step 4: Simplify right side
    235,728x = 258,883,545,636
  5. Step 5: Solve for x
    x = 258,883,545,636/235,728
  6. Step 6: Final answer
    x = 1,098,229.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.