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Finding the Third Proportional to 284,089 and 631,238

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Solution

The third proportional to 284,089 and 631,238 is: 1,402,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,089 : 631,238 = 631,238 : x
  2. Step 2: Convert to fraction form
    284,089/631,238 = 631,238/x
  3. Step 3: Cross multiply
    284,089x = 631,238 × 631,238
  4. Step 4: Simplify right side
    284,089x = 398,461,412,644
  5. Step 5: Solve for x
    x = 398,461,412,644/284,089
  6. Step 6: Final answer
    x = 1,402,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.