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Finding the Third Proportional to 354,854 and 510,082

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Solution

The third proportional to 354,854 and 510,082 is: 733,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,854 : 510,082 = 510,082 : x
  2. Step 2: Convert to fraction form
    354,854/510,082 = 510,082/x
  3. Step 3: Cross multiply
    354,854x = 510,082 × 510,082
  4. Step 4: Simplify right side
    354,854x = 260,183,646,724
  5. Step 5: Solve for x
    x = 260,183,646,724/354,854
  6. Step 6: Final answer
    x = 733,213.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.