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Finding the Third Proportional to 324,032 and 711,792

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Solution

The third proportional to 324,032 and 711,792 is: 1,563,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,032 : 711,792 = 711,792 : x
  2. Step 2: Convert to fraction form
    324,032/711,792 = 711,792/x
  3. Step 3: Cross multiply
    324,032x = 711,792 × 711,792
  4. Step 4: Simplify right side
    324,032x = 506,647,851,264
  5. Step 5: Solve for x
    x = 506,647,851,264/324,032
  6. Step 6: Final answer
    x = 1,563,573.51

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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.