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Finding the Third Proportional to 213,804 and 461,506

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Solution

The third proportional to 213,804 and 461,506 is: 996,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,804 : 461,506 = 461,506 : x
  2. Step 2: Convert to fraction form
    213,804/461,506 = 461,506/x
  3. Step 3: Cross multiply
    213,804x = 461,506 × 461,506
  4. Step 4: Simplify right side
    213,804x = 212,987,788,036
  5. Step 5: Solve for x
    x = 212,987,788,036/213,804
  6. Step 6: Final answer
    x = 996,182.43

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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.