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Finding the Third Proportional to 250,914 and 542,724

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Solution

The third proportional to 250,914 and 542,724 is: 1,173,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,914 : 542,724 = 542,724 : x
  2. Step 2: Convert to fraction form
    250,914/542,724 = 542,724/x
  3. Step 3: Cross multiply
    250,914x = 542,724 × 542,724
  4. Step 4: Simplify right side
    250,914x = 294,549,340,176
  5. Step 5: Solve for x
    x = 294,549,340,176/250,914
  6. Step 6: Final answer
    x = 1,173,905.56

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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.