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Finding the Third Proportional to 332,734 and 511,952

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Solution

The third proportional to 332,734 and 511,952 is: 787,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,734 : 511,952 = 511,952 : x
  2. Step 2: Convert to fraction form
    332,734/511,952 = 511,952/x
  3. Step 3: Cross multiply
    332,734x = 511,952 × 511,952
  4. Step 4: Simplify right side
    332,734x = 262,094,850,304
  5. Step 5: Solve for x
    x = 262,094,850,304/332,734
  6. Step 6: Final answer
    x = 787,700.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.