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Finding the Third Proportional to 524,149 and 785,404.50

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Solution

The third proportional to 524,149 and 785,404.50 is: 1,176,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,149 : 785,404.50 = 785,404.50 : x
  2. Step 2: Convert to fraction form
    524,149/785,404.50 = 785,404.50/x
  3. Step 3: Cross multiply
    524,149x = 785,404.50 × 785,404.50
  4. Step 4: Simplify right side
    524,149x = 616,860,228,620.25
  5. Step 5: Solve for x
    x = 616,860,228,620.25/524,149
  6. Step 6: Final answer
    x = 1,176,879.53

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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.