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Finding the Third Proportional to 284,804 and 606,418

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Solution

The third proportional to 284,804 and 606,418 is: 1,291,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,804 : 606,418 = 606,418 : x
  2. Step 2: Convert to fraction form
    284,804/606,418 = 606,418/x
  3. Step 3: Cross multiply
    284,804x = 606,418 × 606,418
  4. Step 4: Simplify right side
    284,804x = 367,742,790,724
  5. Step 5: Solve for x
    x = 367,742,790,724/284,804
  6. Step 6: Final answer
    x = 1,291,213.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.