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Finding the Third Proportional to 347,190 and 524,472

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Solution

The third proportional to 347,190 and 524,472 is: 792,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,190 : 524,472 = 524,472 : x
  2. Step 2: Convert to fraction form
    347,190/524,472 = 524,472/x
  3. Step 3: Cross multiply
    347,190x = 524,472 × 524,472
  4. Step 4: Simplify right side
    347,190x = 275,070,878,784
  5. Step 5: Solve for x
    x = 275,070,878,784/347,190
  6. Step 6: Final answer
    x = 792,277.65

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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.