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Finding the Third Proportional to 191,349 and 418,986

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Solution

The third proportional to 191,349 and 418,986 is: 917,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,349 : 418,986 = 418,986 : x
  2. Step 2: Convert to fraction form
    191,349/418,986 = 418,986/x
  3. Step 3: Cross multiply
    191,349x = 418,986 × 418,986
  4. Step 4: Simplify right side
    191,349x = 175,549,268,196
  5. Step 5: Solve for x
    x = 175,549,268,196/191,349
  6. Step 6: Final answer
    x = 917,429.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.