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Finding the Third Proportional to 440,298 and 964,980

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Solution

The third proportional to 440,298 and 964,980 is: 2,114,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,298 : 964,980 = 964,980 : x
  2. Step 2: Convert to fraction form
    440,298/964,980 = 964,980/x
  3. Step 3: Cross multiply
    440,298x = 964,980 × 964,980
  4. Step 4: Simplify right side
    440,298x = 931,186,400,400
  5. Step 5: Solve for x
    x = 931,186,400,400/440,298
  6. Step 6: Final answer
    x = 2,114,900.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.