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Finding the Third Proportional to 284,371.50 and 658,332

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Solution

The third proportional to 284,371.50 and 658,332 is: 1,524,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,371.50 : 658,332 = 658,332 : x
  2. Step 2: Convert to fraction form
    284,371.50/658,332 = 658,332/x
  3. Step 3: Cross multiply
    284,371.50x = 658,332 × 658,332
  4. Step 4: Simplify right side
    284,371.50x = 433,401,022,224
  5. Step 5: Solve for x
    x = 433,401,022,224/284,371.50
  6. Step 6: Final answer
    x = 1,524,066.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.