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Finding the Third Proportional to 441,343 and 676,230

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Solution

The third proportional to 441,343 and 676,230 is: 1,036,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,343 : 676,230 = 676,230 : x
  2. Step 2: Convert to fraction form
    441,343/676,230 = 676,230/x
  3. Step 3: Cross multiply
    441,343x = 676,230 × 676,230
  4. Step 4: Simplify right side
    441,343x = 457,287,012,900
  5. Step 5: Solve for x
    x = 457,287,012,900/441,343
  6. Step 6: Final answer
    x = 1,036,126.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.