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Finding the Third Proportional to 284,202 and 601,020

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Solution

The third proportional to 284,202 and 601,020 is: 1,271,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,202 : 601,020 = 601,020 : x
  2. Step 2: Convert to fraction form
    284,202/601,020 = 601,020/x
  3. Step 3: Cross multiply
    284,202x = 601,020 × 601,020
  4. Step 4: Simplify right side
    284,202x = 361,225,040,400
  5. Step 5: Solve for x
    x = 361,225,040,400/284,202
  6. Step 6: Final answer
    x = 1,271,015.12

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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.