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Finding the Third Proportional to 199,700 and 430,504

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Solution

The third proportional to 199,700 and 430,504 is: 928,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,700 : 430,504 = 430,504 : x
  2. Step 2: Convert to fraction form
    199,700/430,504 = 430,504/x
  3. Step 3: Cross multiply
    199,700x = 430,504 × 430,504
  4. Step 4: Simplify right side
    199,700x = 185,333,694,016
  5. Step 5: Solve for x
    x = 185,333,694,016/199,700
  6. Step 6: Final answer
    x = 928,060.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.