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Finding the Third Proportional to 346,906 and 756,682

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Solution

The third proportional to 346,906 and 756,682 is: 1,650,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,906 : 756,682 = 756,682 : x
  2. Step 2: Convert to fraction form
    346,906/756,682 = 756,682/x
  3. Step 3: Cross multiply
    346,906x = 756,682 × 756,682
  4. Step 4: Simplify right side
    346,906x = 572,567,649,124
  5. Step 5: Solve for x
    x = 572,567,649,124/346,906
  6. Step 6: Final answer
    x = 1,650,497.97

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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.