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Finding the Third Proportional to 370,814.06 and 557,208.56

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Solution

The third proportional to 370,814.06 and 557,208.56 is: 837,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,814.06 : 557,208.56 = 557,208.56 : x
  2. Step 2: Convert to fraction form
    370,814.06/557,208.56 = 557,208.56/x
  3. Step 3: Cross multiply
    370,814.06x = 557,208.56 × 557,208.56
  4. Step 4: Simplify right side
    370,814.06x = 310,481,382,123.32
  5. Step 5: Solve for x
    x = 310,481,382,123.32/370,814.06
  6. Step 6: Final answer
    x = 837,296.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.