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Finding the Third Proportional to 349,464 and 764,356

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Solution

The third proportional to 349,464 and 764,356 is: 1,671,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,464 : 764,356 = 764,356 : x
  2. Step 2: Convert to fraction form
    349,464/764,356 = 764,356/x
  3. Step 3: Cross multiply
    349,464x = 764,356 × 764,356
  4. Step 4: Simplify right side
    349,464x = 584,240,094,736
  5. Step 5: Solve for x
    x = 584,240,094,736/349,464
  6. Step 6: Final answer
    x = 1,671,817.68

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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.