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Finding the Third Proportional to 317,138.63 and 475,858.13

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Solution

The third proportional to 317,138.63 and 475,858.13 is: 714,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,138.63 : 475,858.13 = 475,858.13 : x
  2. Step 2: Convert to fraction form
    317,138.63/475,858.13 = 475,858.13/x
  3. Step 3: Cross multiply
    317,138.63x = 475,858.13 × 475,858.13
  4. Step 4: Simplify right side
    317,138.63x = 226,440,955,128.52
  5. Step 5: Solve for x
    x = 226,440,955,128.52/317,138.63
  6. Step 6: Final answer
    x = 714,012.54

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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.