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Finding the Third Proportional to 187,209 and 409,410

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Solution

The third proportional to 187,209 and 409,410 is: 895,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,209 : 409,410 = 409,410 : x
  2. Step 2: Convert to fraction form
    187,209/409,410 = 409,410/x
  3. Step 3: Cross multiply
    187,209x = 409,410 × 409,410
  4. Step 4: Simplify right side
    187,209x = 167,616,548,100
  5. Step 5: Solve for x
    x = 167,616,548,100/187,209
  6. Step 6: Final answer
    x = 895,344.50

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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.