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Finding the Third Proportional to 286,196 and 621,556

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Solution

The third proportional to 286,196 and 621,556 is: 1,349,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196 : 621,556 = 621,556 : x
  2. Step 2: Convert to fraction form
    286,196/621,556 = 621,556/x
  3. Step 3: Cross multiply
    286,196x = 621,556 × 621,556
  4. Step 4: Simplify right side
    286,196x = 386,331,861,136
  5. Step 5: Solve for x
    x = 386,331,861,136/286,196
  6. Step 6: Final answer
    x = 1,349,885.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.