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Finding the Third Proportional to 188,594 and 406,712

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Solution

The third proportional to 188,594 and 406,712 is: 877,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,594 : 406,712 = 406,712 : x
  2. Step 2: Convert to fraction form
    188,594/406,712 = 406,712/x
  3. Step 3: Cross multiply
    188,594x = 406,712 × 406,712
  4. Step 4: Simplify right side
    188,594x = 165,414,650,944
  5. Step 5: Solve for x
    x = 165,414,650,944/188,594
  6. Step 6: Final answer
    x = 877,093.92

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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.