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Finding the Third Proportional to 312,953.63 and 475,399.13

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Solution

The third proportional to 312,953.63 and 475,399.13 is: 722,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.63 : 475,399.13 = 475,399.13 : x
  2. Step 2: Convert to fraction form
    312,953.63/475,399.13 = 475,399.13/x
  3. Step 3: Cross multiply
    312,953.63x = 475,399.13 × 475,399.13
  4. Step 4: Simplify right side
    312,953.63x = 226,004,328,050.77
  5. Step 5: Solve for x
    x = 226,004,328,050.77/312,953.63
  6. Step 6: Final answer
    x = 722,165.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.