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Finding the Third Proportional to 296,069 and 427,337

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Solution

The third proportional to 296,069 and 427,337 is: 616,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,069 : 427,337 = 427,337 : x
  2. Step 2: Convert to fraction form
    296,069/427,337 = 427,337/x
  3. Step 3: Cross multiply
    296,069x = 427,337 × 427,337
  4. Step 4: Simplify right side
    296,069x = 182,616,911,569
  5. Step 5: Solve for x
    x = 182,616,911,569/296,069
  6. Step 6: Final answer
    x = 616,805.24

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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.