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Finding the Third Proportional to 237,732 and 486,394.50

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Solution

The third proportional to 237,732 and 486,394.50 is: 995,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,732 : 486,394.50 = 486,394.50 : x
  2. Step 2: Convert to fraction form
    237,732/486,394.50 = 486,394.50/x
  3. Step 3: Cross multiply
    237,732x = 486,394.50 × 486,394.50
  4. Step 4: Simplify right side
    237,732x = 236,579,609,630.25
  5. Step 5: Solve for x
    x = 236,579,609,630.25/237,732
  6. Step 6: Final answer
    x = 995,152.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.