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Finding the Third Proportional to 362,340 and 777,276

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Solution

The third proportional to 362,340 and 777,276 is: 1,667,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,340 : 777,276 = 777,276 : x
  2. Step 2: Convert to fraction form
    362,340/777,276 = 777,276/x
  3. Step 3: Cross multiply
    362,340x = 777,276 × 777,276
  4. Step 4: Simplify right side
    362,340x = 604,157,980,176
  5. Step 5: Solve for x
    x = 604,157,980,176/362,340
  6. Step 6: Final answer
    x = 1,667,378.65

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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.