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Finding the Third Proportional to 365,382 and 546,228

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Solution

The third proportional to 365,382 and 546,228 is: 816,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,382 : 546,228 = 546,228 : x
  2. Step 2: Convert to fraction form
    365,382/546,228 = 546,228/x
  3. Step 3: Cross multiply
    365,382x = 546,228 × 546,228
  4. Step 4: Simplify right side
    365,382x = 298,365,027,984
  5. Step 5: Solve for x
    x = 298,365,027,984/365,382
  6. Step 6: Final answer
    x = 816,583.82

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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.