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Finding the Third Proportional to 360,207 and 833,814

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Solution

The third proportional to 360,207 and 833,814 is: 1,930,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,207 : 833,814 = 833,814 : x
  2. Step 2: Convert to fraction form
    360,207/833,814 = 833,814/x
  3. Step 3: Cross multiply
    360,207x = 833,814 × 833,814
  4. Step 4: Simplify right side
    360,207x = 695,245,786,596
  5. Step 5: Solve for x
    x = 695,245,786,596/360,207
  6. Step 6: Final answer
    x = 1,930,128.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.