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Finding the Third Proportional to 335,130 and 729,228

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Solution

The third proportional to 335,130 and 729,228 is: 1,586,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,130 : 729,228 = 729,228 : x
  2. Step 2: Convert to fraction form
    335,130/729,228 = 729,228/x
  3. Step 3: Cross multiply
    335,130x = 729,228 × 729,228
  4. Step 4: Simplify right side
    335,130x = 531,773,475,984
  5. Step 5: Solve for x
    x = 531,773,475,984/335,130
  6. Step 6: Final answer
    x = 1,586,767.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.