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Finding the Third Proportional to 221,004 and 482,487

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Solution

The third proportional to 221,004 and 482,487 is: 1,053,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,004 : 482,487 = 482,487 : x
  2. Step 2: Convert to fraction form
    221,004/482,487 = 482,487/x
  3. Step 3: Cross multiply
    221,004x = 482,487 × 482,487
  4. Step 4: Simplify right side
    221,004x = 232,793,705,169
  5. Step 5: Solve for x
    x = 232,793,705,169/221,004
  6. Step 6: Final answer
    x = 1,053,346.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.