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Finding the Third Proportional to 196,438 and 430,028

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Solution

The third proportional to 196,438 and 430,028 is: 941,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438 : 430,028 = 430,028 : x
  2. Step 2: Convert to fraction form
    196,438/430,028 = 430,028/x
  3. Step 3: Cross multiply
    196,438x = 430,028 × 430,028
  4. Step 4: Simplify right side
    196,438x = 184,924,080,784
  5. Step 5: Solve for x
    x = 184,924,080,784/196,438
  6. Step 6: Final answer
    x = 941,386.50

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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.