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Finding the Third Proportional to 386,550 and 830,262

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Solution

The third proportional to 386,550 and 830,262 is: 1,783,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,550 : 830,262 = 830,262 : x
  2. Step 2: Convert to fraction form
    386,550/830,262 = 830,262/x
  3. Step 3: Cross multiply
    386,550x = 830,262 × 830,262
  4. Step 4: Simplify right side
    386,550x = 689,334,988,644
  5. Step 5: Solve for x
    x = 689,334,988,644/386,550
  6. Step 6: Final answer
    x = 1,783,300.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.