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Finding the Third Proportional to 332,548 and 715,032

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Solution

The third proportional to 332,548 and 715,032 is: 1,537,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,548 : 715,032 = 715,032 : x
  2. Step 2: Convert to fraction form
    332,548/715,032 = 715,032/x
  3. Step 3: Cross multiply
    332,548x = 715,032 × 715,032
  4. Step 4: Simplify right side
    332,548x = 511,270,761,024
  5. Step 5: Solve for x
    x = 511,270,761,024/332,548
  6. Step 6: Final answer
    x = 1,537,434.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.