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Finding the Third Proportional to 213,039 and 468,117

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Solution

The third proportional to 213,039 and 468,117 is: 1,028,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039 : 468,117 = 468,117 : x
  2. Step 2: Convert to fraction form
    213,039/468,117 = 468,117/x
  3. Step 3: Cross multiply
    213,039x = 468,117 × 468,117
  4. Step 4: Simplify right side
    213,039x = 219,133,525,689
  5. Step 5: Solve for x
    x = 219,133,525,689/213,039
  6. Step 6: Final answer
    x = 1,028,607.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.