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Finding the Third Proportional to 331,596 and 715,032

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Solution

The third proportional to 331,596 and 715,032 is: 1,541,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,596 : 715,032 = 715,032 : x
  2. Step 2: Convert to fraction form
    331,596/715,032 = 715,032/x
  3. Step 3: Cross multiply
    331,596x = 715,032 × 715,032
  4. Step 4: Simplify right side
    331,596x = 511,270,761,024
  5. Step 5: Solve for x
    x = 511,270,761,024/331,596
  6. Step 6: Final answer
    x = 1,541,848.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.