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Finding the Third Proportional to 346,384 and 541,444

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Solution

The third proportional to 346,384 and 541,444 is: 846,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,384 : 541,444 = 541,444 : x
  2. Step 2: Convert to fraction form
    346,384/541,444 = 541,444/x
  3. Step 3: Cross multiply
    346,384x = 541,444 × 541,444
  4. Step 4: Simplify right side
    346,384x = 293,161,605,136
  5. Step 5: Solve for x
    x = 293,161,605,136/346,384
  6. Step 6: Final answer
    x = 846,348.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.