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Finding the Third Proportional to 195,633 and 428,769

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Solution

The third proportional to 195,633 and 428,769 is: 939,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,633 : 428,769 = 428,769 : x
  2. Step 2: Convert to fraction form
    195,633/428,769 = 428,769/x
  3. Step 3: Cross multiply
    195,633x = 428,769 × 428,769
  4. Step 4: Simplify right side
    195,633x = 183,842,855,361
  5. Step 5: Solve for x
    x = 183,842,855,361/195,633
  6. Step 6: Final answer
    x = 939,733.35

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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.