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Finding the Third Proportional to 367,509 and 791,322

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Solution

The third proportional to 367,509 and 791,322 is: 1,703,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,509 : 791,322 = 791,322 : x
  2. Step 2: Convert to fraction form
    367,509/791,322 = 791,322/x
  3. Step 3: Cross multiply
    367,509x = 791,322 × 791,322
  4. Step 4: Simplify right side
    367,509x = 626,190,507,684
  5. Step 5: Solve for x
    x = 626,190,507,684/367,509
  6. Step 6: Final answer
    x = 1,703,878.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.