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Finding the Third Proportional to 366,984 and 808,460

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Solution

The third proportional to 366,984 and 808,460 is: 1,781,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 808,460 = 808,460 : x
  2. Step 2: Convert to fraction form
    366,984/808,460 = 808,460/x
  3. Step 3: Cross multiply
    366,984x = 808,460 × 808,460
  4. Step 4: Simplify right side
    366,984x = 653,607,571,600
  5. Step 5: Solve for x
    x = 653,607,571,600/366,984
  6. Step 6: Final answer
    x = 1,781,024.71

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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.