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Finding the Third Proportional to 250,586 and 546,410

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Solution

The third proportional to 250,586 and 546,410 is: 1,191,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,586 : 546,410 = 546,410 : x
  2. Step 2: Convert to fraction form
    250,586/546,410 = 546,410/x
  3. Step 3: Cross multiply
    250,586x = 546,410 × 546,410
  4. Step 4: Simplify right side
    250,586x = 298,563,888,100
  5. Step 5: Solve for x
    x = 298,563,888,100/250,586
  6. Step 6: Final answer
    x = 1,191,462.76

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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.