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Finding the Third Proportional to 593,234.50 and 1,270,538

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Solution

The third proportional to 593,234.50 and 1,270,538 is: 2,721,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,234.50 : 1,270,538 = 1,270,538 : x
  2. Step 2: Convert to fraction form
    593,234.50/1,270,538 = 1,270,538/x
  3. Step 3: Cross multiply
    593,234.50x = 1,270,538 × 1,270,538
  4. Step 4: Simplify right side
    593,234.50x = 1,614,266,809,444
  5. Step 5: Solve for x
    x = 1,614,266,809,444/593,234.50
  6. Step 6: Final answer
    x = 2,721,127.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.