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Finding the Third Proportional to 460,093.50 and 706,203

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Solution

The third proportional to 460,093.50 and 706,203 is: 1,083,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,093.50 : 706,203 = 706,203 : x
  2. Step 2: Convert to fraction form
    460,093.50/706,203 = 706,203/x
  3. Step 3: Cross multiply
    460,093.50x = 706,203 × 706,203
  4. Step 4: Simplify right side
    460,093.50x = 498,722,677,209
  5. Step 5: Solve for x
    x = 498,722,677,209/460,093.50
  6. Step 6: Final answer
    x = 1,083,959.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.