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Finding the Third Proportional to 301,081.50 and 661,209

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Solution

The third proportional to 301,081.50 and 661,209 is: 1,452,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.50 : 661,209 = 661,209 : x
  2. Step 2: Convert to fraction form
    301,081.50/661,209 = 661,209/x
  3. Step 3: Cross multiply
    301,081.50x = 661,209 × 661,209
  4. Step 4: Simplify right side
    301,081.50x = 437,197,341,681
  5. Step 5: Solve for x
    x = 437,197,341,681/301,081.50
  6. Step 6: Final answer
    x = 1,452,089.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.