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Finding the Third Proportional to 332,743.50 and 511,461

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Solution

The third proportional to 332,743.50 and 511,461 is: 786,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,743.50 : 511,461 = 511,461 : x
  2. Step 2: Convert to fraction form
    332,743.50/511,461 = 511,461/x
  3. Step 3: Cross multiply
    332,743.50x = 511,461 × 511,461
  4. Step 4: Simplify right side
    332,743.50x = 261,592,354,521
  5. Step 5: Solve for x
    x = 261,592,354,521/332,743.50
  6. Step 6: Final answer
    x = 786,168.19

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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.