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Finding the Third Proportional to 187,822 and 407,492

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Solution

The third proportional to 187,822 and 407,492 is: 884,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,822 : 407,492 = 407,492 : x
  2. Step 2: Convert to fraction form
    187,822/407,492 = 407,492/x
  3. Step 3: Cross multiply
    187,822x = 407,492 × 407,492
  4. Step 4: Simplify right side
    187,822x = 166,049,730,064
  5. Step 5: Solve for x
    x = 166,049,730,064/187,822
  6. Step 6: Final answer
    x = 884,080.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.