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Finding the Third Proportional to 335,683 and 730,392

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Solution

The third proportional to 335,683 and 730,392 is: 1,589,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,683 : 730,392 = 730,392 : x
  2. Step 2: Convert to fraction form
    335,683/730,392 = 730,392/x
  3. Step 3: Cross multiply
    335,683x = 730,392 × 730,392
  4. Step 4: Simplify right side
    335,683x = 533,472,473,664
  5. Step 5: Solve for x
    x = 533,472,473,664/335,683
  6. Step 6: Final answer
    x = 1,589,215.04

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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.