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Finding the Third Proportional to 213,805 and 461,508

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Solution

The third proportional to 213,805 and 461,508 is: 996,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,805 : 461,508 = 461,508 : x
  2. Step 2: Convert to fraction form
    213,805/461,508 = 461,508/x
  3. Step 3: Cross multiply
    213,805x = 461,508 × 461,508
  4. Step 4: Simplify right side
    213,805x = 212,989,634,064
  5. Step 5: Solve for x
    x = 212,989,634,064/213,805
  6. Step 6: Final answer
    x = 996,186.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.