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Finding the Third Proportional to 347,038 and 524,932

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Solution

The third proportional to 347,038 and 524,932 is: 794,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,038 : 524,932 = 524,932 : x
  2. Step 2: Convert to fraction form
    347,038/524,932 = 524,932/x
  3. Step 3: Cross multiply
    347,038x = 524,932 × 524,932
  4. Step 4: Simplify right side
    347,038x = 275,553,604,624
  5. Step 5: Solve for x
    x = 275,553,604,624/347,038
  6. Step 6: Final answer
    x = 794,015.65

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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.