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Finding the Third Proportional to 462,380 and 999,208

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Solution

The third proportional to 462,380 and 999,208 is: 2,159,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,380 : 999,208 = 999,208 : x
  2. Step 2: Convert to fraction form
    462,380/999,208 = 999,208/x
  3. Step 3: Cross multiply
    462,380x = 999,208 × 999,208
  4. Step 4: Simplify right side
    462,380x = 998,416,627,264
  5. Step 5: Solve for x
    x = 998,416,627,264/462,380
  6. Step 6: Final answer
    x = 2,159,298.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.