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Finding the Third Proportional to 253,919 and 546,585

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Solution

The third proportional to 253,919 and 546,585 is: 1,176,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,919 : 546,585 = 546,585 : x
  2. Step 2: Convert to fraction form
    253,919/546,585 = 546,585/x
  3. Step 3: Cross multiply
    253,919x = 546,585 × 546,585
  4. Step 4: Simplify right side
    253,919x = 298,755,162,225
  5. Step 5: Solve for x
    x = 298,755,162,225/253,919
  6. Step 6: Final answer
    x = 1,176,576.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.