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Finding the Third Proportional to 338,983.93 and 460,383.26

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Solution

The third proportional to 338,983.93 and 460,383.26 is: 625,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,983.93 : 460,383.26 = 460,383.26 : x
  2. Step 2: Convert to fraction form
    338,983.93/460,383.26 = 460,383.26/x
  3. Step 3: Cross multiply
    338,983.93x = 460,383.26 × 460,383.26
  4. Step 4: Simplify right side
    338,983.93x = 211,952,742,050.83
  5. Step 5: Solve for x
    x = 211,952,742,050.83/338,983.93
  6. Step 6: Final answer
    x = 625,258.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.