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Finding the Third Proportional to 332,619 and 511,959

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Solution

The third proportional to 332,619 and 511,959 is: 787,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,619 : 511,959 = 511,959 : x
  2. Step 2: Convert to fraction form
    332,619/511,959 = 511,959/x
  3. Step 3: Cross multiply
    332,619x = 511,959 × 511,959
  4. Step 4: Simplify right side
    332,619x = 262,102,017,681
  5. Step 5: Solve for x
    x = 262,102,017,681/332,619
  6. Step 6: Final answer
    x = 787,994.73

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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.