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Finding the Third Proportional to 250,887 and 542,670

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Solution

The third proportional to 250,887 and 542,670 is: 1,173,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,887 : 542,670 = 542,670 : x
  2. Step 2: Convert to fraction form
    250,887/542,670 = 542,670/x
  3. Step 3: Cross multiply
    250,887x = 542,670 × 542,670
  4. Step 4: Simplify right side
    250,887x = 294,490,728,900
  5. Step 5: Solve for x
    x = 294,490,728,900/250,887
  6. Step 6: Final answer
    x = 1,173,798.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.