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Finding the Third Proportional to 250,626 and 546,984

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Solution

The third proportional to 250,626 and 546,984 is: 1,193,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,626 : 546,984 = 546,984 : x
  2. Step 2: Convert to fraction form
    250,626/546,984 = 546,984/x
  3. Step 3: Cross multiply
    250,626x = 546,984 × 546,984
  4. Step 4: Simplify right side
    250,626x = 299,191,496,256
  5. Step 5: Solve for x
    x = 299,191,496,256/250,626
  6. Step 6: Final answer
    x = 1,193,776.77

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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.