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Finding the Third Proportional to 293,863 and 406,051

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Solution

The third proportional to 293,863 and 406,051 is: 561,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,863 : 406,051 = 406,051 : x
  2. Step 2: Convert to fraction form
    293,863/406,051 = 406,051/x
  3. Step 3: Cross multiply
    293,863x = 406,051 × 406,051
  4. Step 4: Simplify right side
    293,863x = 164,877,414,601
  5. Step 5: Solve for x
    x = 164,877,414,601/293,863
  6. Step 6: Final answer
    x = 561,068.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.