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Finding the Third Proportional to 196,865 and 429,817

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Solution

The third proportional to 196,865 and 429,817 is: 938,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,865 : 429,817 = 429,817 : x
  2. Step 2: Convert to fraction form
    196,865/429,817 = 429,817/x
  3. Step 3: Cross multiply
    196,865x = 429,817 × 429,817
  4. Step 4: Simplify right side
    196,865x = 184,742,653,489
  5. Step 5: Solve for x
    x = 184,742,653,489/196,865
  6. Step 6: Final answer
    x = 938,423.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.