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Finding the Third Proportional to 375,598 and 808,149

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Solution

The third proportional to 375,598 and 808,149 is: 1,738,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,598 : 808,149 = 808,149 : x
  2. Step 2: Convert to fraction form
    375,598/808,149 = 808,149/x
  3. Step 3: Cross multiply
    375,598x = 808,149 × 808,149
  4. Step 4: Simplify right side
    375,598x = 653,104,806,201
  5. Step 5: Solve for x
    x = 653,104,806,201/375,598
  6. Step 6: Final answer
    x = 1,738,839.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.