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Finding the Third Proportional to 380,390 and 803,214

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Solution

The third proportional to 380,390 and 803,214 is: 1,696,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,390 : 803,214 = 803,214 : x
  2. Step 2: Convert to fraction form
    380,390/803,214 = 803,214/x
  3. Step 3: Cross multiply
    380,390x = 803,214 × 803,214
  4. Step 4: Simplify right side
    380,390x = 645,152,729,796
  5. Step 5: Solve for x
    x = 645,152,729,796/380,390
  6. Step 6: Final answer
    x = 1,696,029.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.