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Finding the Third Proportional to 476,226 and 648,531

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Solution

The third proportional to 476,226 and 648,531 is: 883,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,226 : 648,531 = 648,531 : x
  2. Step 2: Convert to fraction form
    476,226/648,531 = 648,531/x
  3. Step 3: Cross multiply
    476,226x = 648,531 × 648,531
  4. Step 4: Simplify right side
    476,226x = 420,592,457,961
  5. Step 5: Solve for x
    x = 420,592,457,961/476,226
  6. Step 6: Final answer
    x = 883,178.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.