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Finding the Third Proportional to 525,285 and 743,337

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Solution

The third proportional to 525,285 and 743,337 is: 1,051,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,285 : 743,337 = 743,337 : x
  2. Step 2: Convert to fraction form
    525,285/743,337 = 743,337/x
  3. Step 3: Cross multiply
    525,285x = 743,337 × 743,337
  4. Step 4: Simplify right side
    525,285x = 552,549,895,569
  5. Step 5: Solve for x
    x = 552,549,895,569/525,285
  6. Step 6: Final answer
    x = 1,051,904.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.