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Finding the Third Proportional to 283,746 and 609,306

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Solution

The third proportional to 283,746 and 609,306 is: 1,308,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,746 : 609,306 = 609,306 : x
  2. Step 2: Convert to fraction form
    283,746/609,306 = 609,306/x
  3. Step 3: Cross multiply
    283,746x = 609,306 × 609,306
  4. Step 4: Simplify right side
    283,746x = 371,253,801,636
  5. Step 5: Solve for x
    x = 371,253,801,636/283,746
  6. Step 6: Final answer
    x = 1,308,401.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.