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Finding the Third Proportional to 332,940 and 510,588

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Solution

The third proportional to 332,940 and 510,588 is: 783,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,940 : 510,588 = 510,588 : x
  2. Step 2: Convert to fraction form
    332,940/510,588 = 510,588/x
  3. Step 3: Cross multiply
    332,940x = 510,588 × 510,588
  4. Step 4: Simplify right side
    332,940x = 260,700,105,744
  5. Step 5: Solve for x
    x = 260,700,105,744/332,940
  6. Step 6: Final answer
    x = 783,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.