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Finding the Third Proportional to 188,460.84 and 406,444.08

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Solution

The third proportional to 188,460.84 and 406,444.08 is: 876,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,460.84 : 406,444.08 = 406,444.08 : x
  2. Step 2: Convert to fraction form
    188,460.84/406,444.08 = 406,444.08/x
  3. Step 3: Cross multiply
    188,460.84x = 406,444.08 × 406,444.08
  4. Step 4: Simplify right side
    188,460.84x = 165,196,788,642.88
  5. Step 5: Solve for x
    x = 165,196,788,642.88/188,460.84
  6. Step 6: Final answer
    x = 876,557.62

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