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Finding the Third Proportional to 346,754.83 and 544,093.14

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Solution

The third proportional to 346,754.83 and 544,093.14 is: 853,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,754.83 : 544,093.14 = 544,093.14 : x
  2. Step 2: Convert to fraction form
    346,754.83/544,093.14 = 544,093.14/x
  3. Step 3: Cross multiply
    346,754.83x = 544,093.14 × 544,093.14
  4. Step 4: Simplify right side
    346,754.83x = 296,037,341,424.45
  5. Step 5: Solve for x
    x = 296,037,341,424.45/346,754.83
  6. Step 6: Final answer
    x = 853,736.75

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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.