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Finding the Third Proportional to 476,328 and 656,160

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Solution

The third proportional to 476,328 and 656,160 is: 903,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,328 : 656,160 = 656,160 : x
  2. Step 2: Convert to fraction form
    476,328/656,160 = 656,160/x
  3. Step 3: Cross multiply
    476,328x = 656,160 × 656,160
  4. Step 4: Simplify right side
    476,328x = 430,545,945,600
  5. Step 5: Solve for x
    x = 430,545,945,600/476,328
  6. Step 6: Final answer
    x = 903,885.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.