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Finding the Third Proportional to 194,722 and 418,528

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Solution

The third proportional to 194,722 and 418,528 is: 899,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722 : 418,528 = 418,528 : x
  2. Step 2: Convert to fraction form
    194,722/418,528 = 418,528/x
  3. Step 3: Cross multiply
    194,722x = 418,528 × 418,528
  4. Step 4: Simplify right side
    194,722x = 175,165,686,784
  5. Step 5: Solve for x
    x = 175,165,686,784/194,722
  6. Step 6: Final answer
    x = 899,568.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.