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Finding the Third Proportional to 346,945.50 and 544,379.63

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Solution

The third proportional to 346,945.50 and 544,379.63 is: 854,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,945.50 : 544,379.63 = 544,379.63 : x
  2. Step 2: Convert to fraction form
    346,945.50/544,379.63 = 544,379.63/x
  3. Step 3: Cross multiply
    346,945.50x = 544,379.63 × 544,379.63
  4. Step 4: Simplify right side
    346,945.50x = 296,349,176,115.14
  5. Step 5: Solve for x
    x = 296,349,176,115.14/346,945.50
  6. Step 6: Final answer
    x = 854,166.36

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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.