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Finding the Third Proportional to 286,337 and 604,021

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Solution

The third proportional to 286,337 and 604,021 is: 1,274,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,337 : 604,021 = 604,021 : x
  2. Step 2: Convert to fraction form
    286,337/604,021 = 604,021/x
  3. Step 3: Cross multiply
    286,337x = 604,021 × 604,021
  4. Step 4: Simplify right side
    286,337x = 364,841,368,441
  5. Step 5: Solve for x
    x = 364,841,368,441/286,337
  6. Step 6: Final answer
    x = 1,274,167.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.