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Finding the Third Proportional to 346,980 and 756,834

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Solution

The third proportional to 346,980 and 756,834 is: 1,650,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,980 : 756,834 = 756,834 : x
  2. Step 2: Convert to fraction form
    346,980/756,834 = 756,834/x
  3. Step 3: Cross multiply
    346,980x = 756,834 × 756,834
  4. Step 4: Simplify right side
    346,980x = 572,797,703,556
  5. Step 5: Solve for x
    x = 572,797,703,556/346,980
  6. Step 6: Final answer
    x = 1,650,808.99

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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.