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Finding the Third Proportional to 310,656 and 666,624

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Solution

The third proportional to 310,656 and 666,624 is: 1,430,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,656 : 666,624 = 666,624 : x
  2. Step 2: Convert to fraction form
    310,656/666,624 = 666,624/x
  3. Step 3: Cross multiply
    310,656x = 666,624 × 666,624
  4. Step 4: Simplify right side
    310,656x = 444,387,557,376
  5. Step 5: Solve for x
    x = 444,387,557,376/310,656
  6. Step 6: Final answer
    x = 1,430,481.17

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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.