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Finding the Third Proportional to 346,048 and 747,392

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Solution

The third proportional to 346,048 and 747,392 is: 1,614,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,048 : 747,392 = 747,392 : x
  2. Step 2: Convert to fraction form
    346,048/747,392 = 747,392/x
  3. Step 3: Cross multiply
    346,048x = 747,392 × 747,392
  4. Step 4: Simplify right side
    346,048x = 558,594,801,664
  5. Step 5: Solve for x
    x = 558,594,801,664/346,048
  6. Step 6: Final answer
    x = 1,614,211.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.