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Finding the Third Proportional to 295,769 and 482,919

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Solution

The third proportional to 295,769 and 482,919 is: 788,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,769 : 482,919 = 482,919 : x
  2. Step 2: Convert to fraction form
    295,769/482,919 = 482,919/x
  3. Step 3: Cross multiply
    295,769x = 482,919 × 482,919
  4. Step 4: Simplify right side
    295,769x = 233,210,760,561
  5. Step 5: Solve for x
    x = 233,210,760,561/295,769
  6. Step 6: Final answer
    x = 788,489.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.