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Finding the Third Proportional to 286,272 and 611,910

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Solution

The third proportional to 286,272 and 611,910 is: 1,307,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272 : 611,910 = 611,910 : x
  2. Step 2: Convert to fraction form
    286,272/611,910 = 611,910/x
  3. Step 3: Cross multiply
    286,272x = 611,910 × 611,910
  4. Step 4: Simplify right side
    286,272x = 374,433,848,100
  5. Step 5: Solve for x
    x = 374,433,848,100/286,272
  6. Step 6: Final answer
    x = 1,307,965.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.