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Finding the Third Proportional to 366,933 and 808,361

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Solution

The third proportional to 366,933 and 808,361 is: 1,780,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933 : 808,361 = 808,361 : x
  2. Step 2: Convert to fraction form
    366,933/808,361 = 808,361/x
  3. Step 3: Cross multiply
    366,933x = 808,361 × 808,361
  4. Step 4: Simplify right side
    366,933x = 653,447,506,321
  5. Step 5: Solve for x
    x = 653,447,506,321/366,933
  6. Step 6: Final answer
    x = 1,780,836.03

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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.