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Finding the Third Proportional to 336,530 and 725,524

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Solution

The third proportional to 336,530 and 725,524 is: 1,564,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,530 : 725,524 = 725,524 : x
  2. Step 2: Convert to fraction form
    336,530/725,524 = 725,524/x
  3. Step 3: Cross multiply
    336,530x = 725,524 × 725,524
  4. Step 4: Simplify right side
    336,530x = 526,385,074,576
  5. Step 5: Solve for x
    x = 526,385,074,576/336,530
  6. Step 6: Final answer
    x = 1,564,154.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.