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Finding the Third Proportional to 342,483 and 545,435

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Solution

The third proportional to 342,483 and 545,435 is: 868,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,483 : 545,435 = 545,435 : x
  2. Step 2: Convert to fraction form
    342,483/545,435 = 545,435/x
  3. Step 3: Cross multiply
    342,483x = 545,435 × 545,435
  4. Step 4: Simplify right side
    342,483x = 297,499,339,225
  5. Step 5: Solve for x
    x = 297,499,339,225/342,483
  6. Step 6: Final answer
    x = 868,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.