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Finding the Third Proportional to 415,728 and 669,532

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Solution

The third proportional to 415,728 and 669,532 is: 1,078,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,728 : 669,532 = 669,532 : x
  2. Step 2: Convert to fraction form
    415,728/669,532 = 669,532/x
  3. Step 3: Cross multiply
    415,728x = 669,532 × 669,532
  4. Step 4: Simplify right side
    415,728x = 448,273,099,024
  5. Step 5: Solve for x
    x = 448,273,099,024/415,728
  6. Step 6: Final answer
    x = 1,078,284.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.