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Finding the Third Proportional to 335,964 and 484,074

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Solution

The third proportional to 335,964 and 484,074 is: 697,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,964 : 484,074 = 484,074 : x
  2. Step 2: Convert to fraction form
    335,964/484,074 = 484,074/x
  3. Step 3: Cross multiply
    335,964x = 484,074 × 484,074
  4. Step 4: Simplify right side
    335,964x = 234,327,637,476
  5. Step 5: Solve for x
    x = 234,327,637,476/335,964
  6. Step 6: Final answer
    x = 697,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.