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Finding the Third Proportional to 284,628 and 632,280

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Solution

The third proportional to 284,628 and 632,280 is: 1,404,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,628 : 632,280 = 632,280 : x
  2. Step 2: Convert to fraction form
    284,628/632,280 = 632,280/x
  3. Step 3: Cross multiply
    284,628x = 632,280 × 632,280
  4. Step 4: Simplify right side
    284,628x = 399,777,998,400
  5. Step 5: Solve for x
    x = 399,777,998,400/284,628
  6. Step 6: Final answer
    x = 1,404,563.14

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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.