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Finding the Third Proportional to 293,864 and 406,053

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Solution

The third proportional to 293,864 and 406,053 is: 561,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,864 : 406,053 = 406,053 : x
  2. Step 2: Convert to fraction form
    293,864/406,053 = 406,053/x
  3. Step 3: Cross multiply
    293,864x = 406,053 × 406,053
  4. Step 4: Simplify right side
    293,864x = 164,879,038,809
  5. Step 5: Solve for x
    x = 164,879,038,809/293,864
  6. Step 6: Final answer
    x = 561,072.60

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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.