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Finding the Third Proportional to 366,964 and 808,419

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Solution

The third proportional to 366,964 and 808,419 is: 1,780,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 808,419 = 808,419 : x
  2. Step 2: Convert to fraction form
    366,964/808,419 = 808,419/x
  3. Step 3: Cross multiply
    366,964x = 808,419 × 808,419
  4. Step 4: Simplify right side
    366,964x = 653,541,279,561
  5. Step 5: Solve for x
    x = 653,541,279,561/366,964
  6. Step 6: Final answer
    x = 1,780,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.