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Finding the Third Proportional to 346,948 and 544,383

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Solution

The third proportional to 346,948 and 544,383 is: 854,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,948 : 544,383 = 544,383 : x
  2. Step 2: Convert to fraction form
    346,948/544,383 = 544,383/x
  3. Step 3: Cross multiply
    346,948x = 544,383 × 544,383
  4. Step 4: Simplify right side
    346,948x = 296,352,850,689
  5. Step 5: Solve for x
    x = 296,352,850,689/346,948
  6. Step 6: Final answer
    x = 854,170.80

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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.