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Finding the Third Proportional to 380,241 and 803,250

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Solution

The third proportional to 380,241 and 803,250 is: 1,696,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,241 : 803,250 = 803,250 : x
  2. Step 2: Convert to fraction form
    380,241/803,250 = 803,250/x
  3. Step 3: Cross multiply
    380,241x = 803,250 × 803,250
  4. Step 4: Simplify right side
    380,241x = 645,210,562,500
  5. Step 5: Solve for x
    x = 645,210,562,500/380,241
  6. Step 6: Final answer
    x = 1,696,846.38

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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.