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Finding the Third Proportional to 330,964 and 511,424

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Solution

The third proportional to 330,964 and 511,424 is: 790,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,964 : 511,424 = 511,424 : x
  2. Step 2: Convert to fraction form
    330,964/511,424 = 511,424/x
  3. Step 3: Cross multiply
    330,964x = 511,424 × 511,424
  4. Step 4: Simplify right side
    330,964x = 261,554,507,776
  5. Step 5: Solve for x
    x = 261,554,507,776/330,964
  6. Step 6: Final answer
    x = 790,280.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.