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Finding the Third Proportional to 346,959 and 544,401

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Solution

The third proportional to 346,959 and 544,401 is: 854,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,959 : 544,401 = 544,401 : x
  2. Step 2: Convert to fraction form
    346,959/544,401 = 544,401/x
  3. Step 3: Cross multiply
    346,959x = 544,401 × 544,401
  4. Step 4: Simplify right side
    346,959x = 296,372,448,801
  5. Step 5: Solve for x
    x = 296,372,448,801/346,959
  6. Step 6: Final answer
    x = 854,200.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.