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Finding the Third Proportional to 357,234 and 486,477

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Solution

The third proportional to 357,234 and 486,477 is: 662,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,234 : 486,477 = 486,477 : x
  2. Step 2: Convert to fraction form
    357,234/486,477 = 486,477/x
  3. Step 3: Cross multiply
    357,234x = 486,477 × 486,477
  4. Step 4: Simplify right side
    357,234x = 236,659,871,529
  5. Step 5: Solve for x
    x = 236,659,871,529/357,234
  6. Step 6: Final answer
    x = 662,478.58

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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.