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Finding the Third Proportional to 346,992 and 757,050

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Solution

The third proportional to 346,992 and 757,050 is: 1,651,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,992 : 757,050 = 757,050 : x
  2. Step 2: Convert to fraction form
    346,992/757,050 = 757,050/x
  3. Step 3: Cross multiply
    346,992x = 757,050 × 757,050
  4. Step 4: Simplify right side
    346,992x = 573,124,702,500
  5. Step 5: Solve for x
    x = 573,124,702,500/346,992
  6. Step 6: Final answer
    x = 1,651,694.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.