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Finding the Third Proportional to 196,624 and 430,044

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Solution

The third proportional to 196,624 and 430,044 is: 940,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,624 : 430,044 = 430,044 : x
  2. Step 2: Convert to fraction form
    196,624/430,044 = 430,044/x
  3. Step 3: Cross multiply
    196,624x = 430,044 × 430,044
  4. Step 4: Simplify right side
    196,624x = 184,937,841,936
  5. Step 5: Solve for x
    x = 184,937,841,936/196,624
  6. Step 6: Final answer
    x = 940,565.96

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Why These Related Problems?

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