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Finding the Third Proportional to 322,347 and 709,116

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Solution

The third proportional to 322,347 and 709,116 is: 1,559,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,347 : 709,116 = 709,116 : x
  2. Step 2: Convert to fraction form
    322,347/709,116 = 709,116/x
  3. Step 3: Cross multiply
    322,347x = 709,116 × 709,116
  4. Step 4: Simplify right side
    322,347x = 502,845,501,456
  5. Step 5: Solve for x
    x = 502,845,501,456/322,347
  6. Step 6: Final answer
    x = 1,559,950.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.