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Finding the Third Proportional to 301,098 and 654,195

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Solution

The third proportional to 301,098 and 654,195 is: 1,421,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098 : 654,195 = 654,195 : x
  2. Step 2: Convert to fraction form
    301,098/654,195 = 654,195/x
  3. Step 3: Cross multiply
    301,098x = 654,195 × 654,195
  4. Step 4: Simplify right side
    301,098x = 427,971,098,025
  5. Step 5: Solve for x
    x = 427,971,098,025/301,098
  6. Step 6: Final answer
    x = 1,421,368.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.