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Finding the Third Proportional to 284,970 and 444,708

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Solution

The third proportional to 284,970 and 444,708 is: 693,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,970 : 444,708 = 444,708 : x
  2. Step 2: Convert to fraction form
    284,970/444,708 = 444,708/x
  3. Step 3: Cross multiply
    284,970x = 444,708 × 444,708
  4. Step 4: Simplify right side
    284,970x = 197,765,205,264
  5. Step 5: Solve for x
    x = 197,765,205,264/284,970
  6. Step 6: Final answer
    x = 693,986.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.