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Finding the Third Proportional to 366,833 and 546,865

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Solution

The third proportional to 366,833 and 546,865 is: 815,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,833 : 546,865 = 546,865 : x
  2. Step 2: Convert to fraction form
    366,833/546,865 = 546,865/x
  3. Step 3: Cross multiply
    366,833x = 546,865 × 546,865
  4. Step 4: Simplify right side
    366,833x = 299,061,328,225
  5. Step 5: Solve for x
    x = 299,061,328,225/366,833
  6. Step 6: Final answer
    x = 815,251.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.