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Finding the Third Proportional to 476,281 and 646,843

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Solution

The third proportional to 476,281 and 646,843 is: 878,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,281 : 646,843 = 646,843 : x
  2. Step 2: Convert to fraction form
    476,281/646,843 = 646,843/x
  3. Step 3: Cross multiply
    476,281x = 646,843 × 646,843
  4. Step 4: Simplify right side
    476,281x = 418,405,866,649
  5. Step 5: Solve for x
    x = 418,405,866,649/476,281
  6. Step 6: Final answer
    x = 878,485.32

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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.