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Finding the Third Proportional to 233,485 and 510,622

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Solution

The third proportional to 233,485 and 510,622 is: 1,116,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,485 : 510,622 = 510,622 : x
  2. Step 2: Convert to fraction form
    233,485/510,622 = 510,622/x
  3. Step 3: Cross multiply
    233,485x = 510,622 × 510,622
  4. Step 4: Simplify right side
    233,485x = 260,734,826,884
  5. Step 5: Solve for x
    x = 260,734,826,884/233,485
  6. Step 6: Final answer
    x = 1,116,709.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.