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Finding the Third Proportional to 342,636 and 545,634

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Solution

The third proportional to 342,636 and 545,634 is: 868,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,636 : 545,634 = 545,634 : x
  2. Step 2: Convert to fraction form
    342,636/545,634 = 545,634/x
  3. Step 3: Cross multiply
    342,636x = 545,634 × 545,634
  4. Step 4: Simplify right side
    342,636x = 297,716,461,956
  5. Step 5: Solve for x
    x = 297,716,461,956/342,636
  6. Step 6: Final answer
    x = 868,900.12

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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.