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Finding the Third Proportional to 267,798 and 583,670

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Solution

The third proportional to 267,798 and 583,670 is: 1,272,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,798 : 583,670 = 583,670 : x
  2. Step 2: Convert to fraction form
    267,798/583,670 = 583,670/x
  3. Step 3: Cross multiply
    267,798x = 583,670 × 583,670
  4. Step 4: Simplify right side
    267,798x = 340,670,668,900
  5. Step 5: Solve for x
    x = 340,670,668,900/267,798
  6. Step 6: Final answer
    x = 1,272,118.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.