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Finding the Third Proportional to 250,564 and 546,353

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Solution

The third proportional to 250,564 and 546,353 is: 1,191,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,564 : 546,353 = 546,353 : x
  2. Step 2: Convert to fraction form
    250,564/546,353 = 546,353/x
  3. Step 3: Cross multiply
    250,564x = 546,353 × 546,353
  4. Step 4: Simplify right side
    250,564x = 298,501,600,609
  5. Step 5: Solve for x
    x = 298,501,600,609/250,564
  6. Step 6: Final answer
    x = 1,191,318.79

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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.