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Finding the Third Proportional to 335,138 and 730,494

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Solution

The third proportional to 335,138 and 730,494 is: 1,592,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,138 : 730,494 = 730,494 : x
  2. Step 2: Convert to fraction form
    335,138/730,494 = 730,494/x
  3. Step 3: Cross multiply
    335,138x = 730,494 × 730,494
  4. Step 4: Simplify right side
    335,138x = 533,621,484,036
  5. Step 5: Solve for x
    x = 533,621,484,036/335,138
  6. Step 6: Final answer
    x = 1,592,244.04

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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.