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Finding the Third Proportional to 366,838.50 and 546,873

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Solution

The third proportional to 366,838.50 and 546,873 is: 815,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,838.50 : 546,873 = 546,873 : x
  2. Step 2: Convert to fraction form
    366,838.50/546,873 = 546,873/x
  3. Step 3: Cross multiply
    366,838.50x = 546,873 × 546,873
  4. Step 4: Simplify right side
    366,838.50x = 299,070,078,129
  5. Step 5: Solve for x
    x = 299,070,078,129/366,838.50
  6. Step 6: Final answer
    x = 815,263.61

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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.