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Finding the Third Proportional to 233,768 and 509,656

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Solution

The third proportional to 233,768 and 509,656 is: 1,111,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,768 : 509,656 = 509,656 : x
  2. Step 2: Convert to fraction form
    233,768/509,656 = 509,656/x
  3. Step 3: Cross multiply
    233,768x = 509,656 × 509,656
  4. Step 4: Simplify right side
    233,768x = 259,749,238,336
  5. Step 5: Solve for x
    x = 259,749,238,336/233,768
  6. Step 6: Final answer
    x = 1,111,141.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.