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Finding the Third Proportional to 366,596 and 546,438

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Solution

The third proportional to 366,596 and 546,438 is: 814,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,596 : 546,438 = 546,438 : x
  2. Step 2: Convert to fraction form
    366,596/546,438 = 546,438/x
  3. Step 3: Cross multiply
    366,596x = 546,438 × 546,438
  4. Step 4: Simplify right side
    366,596x = 298,594,487,844
  5. Step 5: Solve for x
    x = 298,594,487,844/366,596
  6. Step 6: Final answer
    x = 814,505.58

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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.