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Finding the Third Proportional to 235,066 and 509,498

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Solution

The third proportional to 235,066 and 509,498 is: 1,104,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,066 : 509,498 = 509,498 : x
  2. Step 2: Convert to fraction form
    235,066/509,498 = 509,498/x
  3. Step 3: Cross multiply
    235,066x = 509,498 × 509,498
  4. Step 4: Simplify right side
    235,066x = 259,588,212,004
  5. Step 5: Solve for x
    x = 259,588,212,004/235,066
  6. Step 6: Final answer
    x = 1,104,320.54

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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.