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Finding the Third Proportional to 344,265.75 and 469,341

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Solution

The third proportional to 344,265.75 and 469,341 is: 639,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,265.75 : 469,341 = 469,341 : x
  2. Step 2: Convert to fraction form
    344,265.75/469,341 = 469,341/x
  3. Step 3: Cross multiply
    344,265.75x = 469,341 × 469,341
  4. Step 4: Simplify right side
    344,265.75x = 220,280,974,281
  5. Step 5: Solve for x
    x = 220,280,974,281/344,265.75
  6. Step 6: Final answer
    x = 639,857.36

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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.