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Finding the Third Proportional to 322,710 and 709,114

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Solution

The third proportional to 322,710 and 709,114 is: 1,558,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,710 : 709,114 = 709,114 : x
  2. Step 2: Convert to fraction form
    322,710/709,114 = 709,114/x
  3. Step 3: Cross multiply
    322,710x = 709,114 × 709,114
  4. Step 4: Simplify right side
    322,710x = 502,842,664,996
  5. Step 5: Solve for x
    x = 502,842,664,996/322,710
  6. Step 6: Final answer
    x = 1,558,187.43

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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.