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Finding the Third Proportional to 472,978 and 714,382

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Solution

The third proportional to 472,978 and 714,382 is: 1,078,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978 : 714,382 = 714,382 : x
  2. Step 2: Convert to fraction form
    472,978/714,382 = 714,382/x
  3. Step 3: Cross multiply
    472,978x = 714,382 × 714,382
  4. Step 4: Simplify right side
    472,978x = 510,341,641,924
  5. Step 5: Solve for x
    x = 510,341,641,924/472,978
  6. Step 6: Final answer
    x = 1,078,996.57

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