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Finding the Third Proportional to 491,122.50 and 738,513

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Solution

The third proportional to 491,122.50 and 738,513 is: 1,110,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,122.50 : 738,513 = 738,513 : x
  2. Step 2: Convert to fraction form
    491,122.50/738,513 = 738,513/x
  3. Step 3: Cross multiply
    491,122.50x = 738,513 × 738,513
  4. Step 4: Simplify right side
    491,122.50x = 545,401,451,169
  5. Step 5: Solve for x
    x = 545,401,451,169/491,122.50
  6. Step 6: Final answer
    x = 1,110,520.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.