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Finding the Third Proportional to 335,358 and 718,704

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Solution

The third proportional to 335,358 and 718,704 is: 1,540,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,358 : 718,704 = 718,704 : x
  2. Step 2: Convert to fraction form
    335,358/718,704 = 718,704/x
  3. Step 3: Cross multiply
    335,358x = 718,704 × 718,704
  4. Step 4: Simplify right side
    335,358x = 516,535,439,616
  5. Step 5: Solve for x
    x = 516,535,439,616/335,358
  6. Step 6: Final answer
    x = 1,540,250.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.