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Finding the Third Proportional to 341,703 and 749,223

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Solution

The third proportional to 341,703 and 749,223 is: 1,642,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,703 : 749,223 = 749,223 : x
  2. Step 2: Convert to fraction form
    341,703/749,223 = 749,223/x
  3. Step 3: Cross multiply
    341,703x = 749,223 × 749,223
  4. Step 4: Simplify right side
    341,703x = 561,335,103,729
  5. Step 5: Solve for x
    x = 561,335,103,729/341,703
  6. Step 6: Final answer
    x = 1,642,757.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.