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Finding the Third Proportional to 284,101 and 613,271

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Solution

The third proportional to 284,101 and 613,271 is: 1,323,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101 : 613,271 = 613,271 : x
  2. Step 2: Convert to fraction form
    284,101/613,271 = 613,271/x
  3. Step 3: Cross multiply
    284,101x = 613,271 × 613,271
  4. Step 4: Simplify right side
    284,101x = 376,101,319,441
  5. Step 5: Solve for x
    x = 376,101,319,441/284,101
  6. Step 6: Final answer
    x = 1,323,829.62

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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.