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Finding the Third Proportional to 369,936 and 808,353

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Solution

The third proportional to 369,936 and 808,353 is: 1,766,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,936 : 808,353 = 808,353 : x
  2. Step 2: Convert to fraction form
    369,936/808,353 = 808,353/x
  3. Step 3: Cross multiply
    369,936x = 808,353 × 808,353
  4. Step 4: Simplify right side
    369,936x = 653,434,572,609
  5. Step 5: Solve for x
    x = 653,434,572,609/369,936
  6. Step 6: Final answer
    x = 1,766,344.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.