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Finding the Third Proportional to 346,456 and 759,116

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Solution

The third proportional to 346,456 and 759,116 is: 1,663,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,456 : 759,116 = 759,116 : x
  2. Step 2: Convert to fraction form
    346,456/759,116 = 759,116/x
  3. Step 3: Cross multiply
    346,456x = 759,116 × 759,116
  4. Step 4: Simplify right side
    346,456x = 576,257,101,456
  5. Step 5: Solve for x
    x = 576,257,101,456/346,456
  6. Step 6: Final answer
    x = 1,663,290.87

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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.