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Finding the Third Proportional to 187,466 and 410,530

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Solution

The third proportional to 187,466 and 410,530 is: 899,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,466 : 410,530 = 410,530 : x
  2. Step 2: Convert to fraction form
    187,466/410,530 = 410,530/x
  3. Step 3: Cross multiply
    187,466x = 410,530 × 410,530
  4. Step 4: Simplify right side
    187,466x = 168,534,880,900
  5. Step 5: Solve for x
    x = 168,534,880,900/187,466
  6. Step 6: Final answer
    x = 899,015.72

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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.