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Finding the Third Proportional to 309,102 and 659,033

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Solution

The third proportional to 309,102 and 659,033 is: 1,405,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,102 : 659,033 = 659,033 : x
  2. Step 2: Convert to fraction form
    309,102/659,033 = 659,033/x
  3. Step 3: Cross multiply
    309,102x = 659,033 × 659,033
  4. Step 4: Simplify right side
    309,102x = 434,324,495,089
  5. Step 5: Solve for x
    x = 434,324,495,089/309,102
  6. Step 6: Final answer
    x = 1,405,117.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.