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Finding the Third Proportional to 347,091 and 524,337

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Solution

The third proportional to 347,091 and 524,337 is: 792,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,091 : 524,337 = 524,337 : x
  2. Step 2: Convert to fraction form
    347,091/524,337 = 524,337/x
  3. Step 3: Cross multiply
    347,091x = 524,337 × 524,337
  4. Step 4: Simplify right side
    347,091x = 274,929,289,569
  5. Step 5: Solve for x
    x = 274,929,289,569/347,091
  6. Step 6: Final answer
    x = 792,095.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.