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Finding the Third Proportional to 335,044 and 730,322

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Solution

The third proportional to 335,044 and 730,322 is: 1,591,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,044 : 730,322 = 730,322 : x
  2. Step 2: Convert to fraction form
    335,044/730,322 = 730,322/x
  3. Step 3: Cross multiply
    335,044x = 730,322 × 730,322
  4. Step 4: Simplify right side
    335,044x = 533,370,223,684
  5. Step 5: Solve for x
    x = 533,370,223,684/335,044
  6. Step 6: Final answer
    x = 1,591,940.83

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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.