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Finding the Third Proportional to 373,770 and 560,538

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Solution

The third proportional to 373,770 and 560,538 is: 840,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,770 : 560,538 = 560,538 : x
  2. Step 2: Convert to fraction form
    373,770/560,538 = 560,538/x
  3. Step 3: Cross multiply
    373,770x = 560,538 × 560,538
  4. Step 4: Simplify right side
    373,770x = 314,202,849,444
  5. Step 5: Solve for x
    x = 314,202,849,444/373,770
  6. Step 6: Final answer
    x = 840,631.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.