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Finding the Third Proportional to 337,700 and 534,732

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Solution

The third proportional to 337,700 and 534,732 is: 846,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,700 : 534,732 = 534,732 : x
  2. Step 2: Convert to fraction form
    337,700/534,732 = 534,732/x
  3. Step 3: Cross multiply
    337,700x = 534,732 × 534,732
  4. Step 4: Simplify right side
    337,700x = 285,938,311,824
  5. Step 5: Solve for x
    x = 285,938,311,824/337,700
  6. Step 6: Final answer
    x = 846,722.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.