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Finding the Third Proportional to 477,270 and 668,979

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Solution

The third proportional to 477,270 and 668,979 is: 937,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,270 : 668,979 = 668,979 : x
  2. Step 2: Convert to fraction form
    477,270/668,979 = 668,979/x
  3. Step 3: Cross multiply
    477,270x = 668,979 × 668,979
  4. Step 4: Simplify right side
    477,270x = 447,532,902,441
  5. Step 5: Solve for x
    x = 447,532,902,441/477,270
  6. Step 6: Final answer
    x = 937,693.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.