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Finding the Third Proportional to 346,764.75 and 544,108.50

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Solution

The third proportional to 346,764.75 and 544,108.50 is: 853,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,764.75 : 544,108.50 = 544,108.50 : x
  2. Step 2: Convert to fraction form
    346,764.75/544,108.50 = 544,108.50/x
  3. Step 3: Cross multiply
    346,764.75x = 544,108.50 × 544,108.50
  4. Step 4: Simplify right side
    346,764.75x = 296,054,059,772.25
  5. Step 5: Solve for x
    x = 296,054,059,772.25/346,764.75
  6. Step 6: Final answer
    x = 853,760.54

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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.