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Finding the Third Proportional to 235,434 and 509,973

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Solution

The third proportional to 235,434 and 509,973 is: 1,104,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,434 : 509,973 = 509,973 : x
  2. Step 2: Convert to fraction form
    235,434/509,973 = 509,973/x
  3. Step 3: Cross multiply
    235,434x = 509,973 × 509,973
  4. Step 4: Simplify right side
    235,434x = 260,072,460,729
  5. Step 5: Solve for x
    x = 260,072,460,729/235,434
  6. Step 6: Final answer
    x = 1,104,651.24

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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.