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Finding the Third Proportional to 346,092 and 767,336

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Solution

The third proportional to 346,092 and 767,336 is: 1,701,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,092 : 767,336 = 767,336 : x
  2. Step 2: Convert to fraction form
    346,092/767,336 = 767,336/x
  3. Step 3: Cross multiply
    346,092x = 767,336 × 767,336
  4. Step 4: Simplify right side
    346,092x = 588,804,536,896
  5. Step 5: Solve for x
    x = 588,804,536,896/346,092
  6. Step 6: Final answer
    x = 1,701,294.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.