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Finding the Third Proportional to 235,945 and 509,426

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Solution

The third proportional to 235,945 and 509,426 is: 1,099,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,945 : 509,426 = 509,426 : x
  2. Step 2: Convert to fraction form
    235,945/509,426 = 509,426/x
  3. Step 3: Cross multiply
    235,945x = 509,426 × 509,426
  4. Step 4: Simplify right side
    235,945x = 259,514,849,476
  5. Step 5: Solve for x
    x = 259,514,849,476/235,945
  6. Step 6: Final answer
    x = 1,099,895.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.