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Finding the Third Proportional to 324,654 and 711,576

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Solution

The third proportional to 324,654 and 711,576 is: 1,559,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654 : 711,576 = 711,576 : x
  2. Step 2: Convert to fraction form
    324,654/711,576 = 711,576/x
  3. Step 3: Cross multiply
    324,654x = 711,576 × 711,576
  4. Step 4: Simplify right side
    324,654x = 506,340,403,776
  5. Step 5: Solve for x
    x = 506,340,403,776/324,654
  6. Step 6: Final answer
    x = 1,559,630.88

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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.