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Finding the Third Proportional to 349,456 and 764,341

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Solution

The third proportional to 349,456 and 764,341 is: 1,671,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,456 : 764,341 = 764,341 : x
  2. Step 2: Convert to fraction form
    349,456/764,341 = 764,341/x
  3. Step 3: Cross multiply
    349,456x = 764,341 × 764,341
  4. Step 4: Simplify right side
    349,456x = 584,217,164,281
  5. Step 5: Solve for x
    x = 584,217,164,281/349,456
  6. Step 6: Final answer
    x = 1,671,790.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.