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Finding the Third Proportional to 284,389.50 and 622,347

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Solution

The third proportional to 284,389.50 and 622,347 is: 1,361,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,389.50 : 622,347 = 622,347 : x
  2. Step 2: Convert to fraction form
    284,389.50/622,347 = 622,347/x
  3. Step 3: Cross multiply
    284,389.50x = 622,347 × 622,347
  4. Step 4: Simplify right side
    284,389.50x = 387,315,788,409
  5. Step 5: Solve for x
    x = 387,315,788,409/284,389.50
  6. Step 6: Final answer
    x = 1,361,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.