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Finding the Third Proportional to 336,386 and 723,652

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Solution

The third proportional to 336,386 and 723,652 is: 1,556,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,386 : 723,652 = 723,652 : x
  2. Step 2: Convert to fraction form
    336,386/723,652 = 723,652/x
  3. Step 3: Cross multiply
    336,386x = 723,652 × 723,652
  4. Step 4: Simplify right side
    336,386x = 523,672,217,104
  5. Step 5: Solve for x
    x = 523,672,217,104/336,386
  6. Step 6: Final answer
    x = 1,556,759.84

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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.