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Finding the Third Proportional to 332,724 and 511,416

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Solution

The third proportional to 332,724 and 511,416 is: 786,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,724 : 511,416 = 511,416 : x
  2. Step 2: Convert to fraction form
    332,724/511,416 = 511,416/x
  3. Step 3: Cross multiply
    332,724x = 511,416 × 511,416
  4. Step 4: Simplify right side
    332,724x = 261,546,325,056
  5. Step 5: Solve for x
    x = 261,546,325,056/332,724
  6. Step 6: Final answer
    x = 786,075.92

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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.