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Finding the Third Proportional to 235,410 and 509,922

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Solution

The third proportional to 235,410 and 509,922 is: 1,104,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,410 : 509,922 = 509,922 : x
  2. Step 2: Convert to fraction form
    235,410/509,922 = 509,922/x
  3. Step 3: Cross multiply
    235,410x = 509,922 × 509,922
  4. Step 4: Simplify right side
    235,410x = 260,020,446,084
  5. Step 5: Solve for x
    x = 260,020,446,084/235,410
  6. Step 6: Final answer
    x = 1,104,542.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.