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Finding the Third Proportional to 341,606 and 749,740

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Solution

The third proportional to 341,606 and 749,740 is: 1,645,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,606 : 749,740 = 749,740 : x
  2. Step 2: Convert to fraction form
    341,606/749,740 = 749,740/x
  3. Step 3: Cross multiply
    341,606x = 749,740 × 749,740
  4. Step 4: Simplify right side
    341,606x = 562,110,067,600
  5. Step 5: Solve for x
    x = 562,110,067,600/341,606
  6. Step 6: Final answer
    x = 1,645,492.37

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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.