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Finding the Third Proportional to 364,116 and 557,262

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Solution

The third proportional to 364,116 and 557,262 is: 852,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,116 : 557,262 = 557,262 : x
  2. Step 2: Convert to fraction form
    364,116/557,262 = 557,262/x
  3. Step 3: Cross multiply
    364,116x = 557,262 × 557,262
  4. Step 4: Simplify right side
    364,116x = 310,540,936,644
  5. Step 5: Solve for x
    x = 310,540,936,644/364,116
  6. Step 6: Final answer
    x = 852,862.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.