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Finding the Third Proportional to 390,500 and 530,451

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Solution

The third proportional to 390,500 and 530,451 is: 720,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,500 : 530,451 = 530,451 : x
  2. Step 2: Convert to fraction form
    390,500/530,451 = 530,451/x
  3. Step 3: Cross multiply
    390,500x = 530,451 × 530,451
  4. Step 4: Simplify right side
    390,500x = 281,378,263,401
  5. Step 5: Solve for x
    x = 281,378,263,401/390,500
  6. Step 6: Final answer
    x = 720,558.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.