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Finding the Third Proportional to 281,536 and 413,072

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Solution

The third proportional to 281,536 and 413,072 is: 606,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,536 : 413,072 = 413,072 : x
  2. Step 2: Convert to fraction form
    281,536/413,072 = 413,072/x
  3. Step 3: Cross multiply
    281,536x = 413,072 × 413,072
  4. Step 4: Simplify right side
    281,536x = 170,628,477,184
  5. Step 5: Solve for x
    x = 170,628,477,184/281,536
  6. Step 6: Final answer
    x = 606,062.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.