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Finding the Third Proportional to 415,752 and 669,564

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Solution

The third proportional to 415,752 and 669,564 is: 1,078,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,752 : 669,564 = 669,564 : x
  2. Step 2: Convert to fraction form
    415,752/669,564 = 669,564/x
  3. Step 3: Cross multiply
    415,752x = 669,564 × 669,564
  4. Step 4: Simplify right side
    415,752x = 448,315,950,096
  5. Step 5: Solve for x
    x = 448,315,950,096/415,752
  6. Step 6: Final answer
    x = 1,078,325.42

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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.