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Finding the Third Proportional to 284,810 and 606,436

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Solution

The third proportional to 284,810 and 606,436 is: 1,291,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810 : 606,436 = 606,436 : x
  2. Step 2: Convert to fraction form
    284,810/606,436 = 606,436/x
  3. Step 3: Cross multiply
    284,810x = 606,436 × 606,436
  4. Step 4: Simplify right side
    284,810x = 367,764,622,096
  5. Step 5: Solve for x
    x = 367,764,622,096/284,810
  6. Step 6: Final answer
    x = 1,291,263.02

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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.