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Finding the Third Proportional to 376,830 and 808,254

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Solution

The third proportional to 376,830 and 808,254 is: 1,733,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,830 : 808,254 = 808,254 : x
  2. Step 2: Convert to fraction form
    376,830/808,254 = 808,254/x
  3. Step 3: Cross multiply
    376,830x = 808,254 × 808,254
  4. Step 4: Simplify right side
    376,830x = 653,274,528,516
  5. Step 5: Solve for x
    x = 653,274,528,516/376,830
  6. Step 6: Final answer
    x = 1,733,605.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.