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Finding the Third Proportional to 324,660 and 711,588

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Solution

The third proportional to 324,660 and 711,588 is: 1,559,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,660 : 711,588 = 711,588 : x
  2. Step 2: Convert to fraction form
    324,660/711,588 = 711,588/x
  3. Step 3: Cross multiply
    324,660x = 711,588 × 711,588
  4. Step 4: Simplify right side
    324,660x = 506,357,481,744
  5. Step 5: Solve for x
    x = 506,357,481,744/324,660
  6. Step 6: Final answer
    x = 1,559,654.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.