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Finding the Third Proportional to 337,024 and 506,400

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Solution

The third proportional to 337,024 and 506,400 is: 760,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,024 : 506,400 = 506,400 : x
  2. Step 2: Convert to fraction form
    337,024/506,400 = 506,400/x
  3. Step 3: Cross multiply
    337,024x = 506,400 × 506,400
  4. Step 4: Simplify right side
    337,024x = 256,440,960,000
  5. Step 5: Solve for x
    x = 256,440,960,000/337,024
  6. Step 6: Final answer
    x = 760,898.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.