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Finding the Third Proportional to 335,915 and 737,359

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Solution

The third proportional to 335,915 and 737,359 is: 1,618,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,915 : 737,359 = 737,359 : x
  2. Step 2: Convert to fraction form
    335,915/737,359 = 737,359/x
  3. Step 3: Cross multiply
    335,915x = 737,359 × 737,359
  4. Step 4: Simplify right side
    335,915x = 543,698,294,881
  5. Step 5: Solve for x
    x = 543,698,294,881/335,915
  6. Step 6: Final answer
    x = 1,618,559.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.