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Finding the Third Proportional to 283,689 and 612,209

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Solution

The third proportional to 283,689 and 612,209 is: 1,321,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,689 : 612,209 = 612,209 : x
  2. Step 2: Convert to fraction form
    283,689/612,209 = 612,209/x
  3. Step 3: Cross multiply
    283,689x = 612,209 × 612,209
  4. Step 4: Simplify right side
    283,689x = 374,799,859,681
  5. Step 5: Solve for x
    x = 374,799,859,681/283,689
  6. Step 6: Final answer
    x = 1,321,164.58

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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.