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Finding the Third Proportional to 199,391 and 430,089

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Solution

The third proportional to 199,391 and 430,089 is: 927,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,391 : 430,089 = 430,089 : x
  2. Step 2: Convert to fraction form
    199,391/430,089 = 430,089/x
  3. Step 3: Cross multiply
    199,391x = 430,089 × 430,089
  4. Step 4: Simplify right side
    199,391x = 184,976,547,921
  5. Step 5: Solve for x
    x = 184,976,547,921/199,391
  6. Step 6: Final answer
    x = 927,707.61

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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.