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Finding the Third Proportional to 366,970 and 808,432

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Solution

The third proportional to 366,970 and 808,432 is: 1,780,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 808,432 = 808,432 : x
  2. Step 2: Convert to fraction form
    366,970/808,432 = 808,432/x
  3. Step 3: Cross multiply
    366,970x = 808,432 × 808,432
  4. Step 4: Simplify right side
    366,970x = 653,562,298,624
  5. Step 5: Solve for x
    x = 653,562,298,624/366,970
  6. Step 6: Final answer
    x = 1,780,969.29

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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.