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Finding the Third Proportional to 284,971 and 444,709

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Solution

The third proportional to 284,971 and 444,709 is: 693,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,971 : 444,709 = 444,709 : x
  2. Step 2: Convert to fraction form
    284,971/444,709 = 444,709/x
  3. Step 3: Cross multiply
    284,971x = 444,709 × 444,709
  4. Step 4: Simplify right side
    284,971x = 197,766,094,681
  5. Step 5: Solve for x
    x = 197,766,094,681/284,971
  6. Step 6: Final answer
    x = 693,986.74

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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.