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Finding the Third Proportional to 236,148 and 509,448

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Solution

The third proportional to 236,148 and 509,448 is: 1,099,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,148 : 509,448 = 509,448 : x
  2. Step 2: Convert to fraction form
    236,148/509,448 = 509,448/x
  3. Step 3: Cross multiply
    236,148x = 509,448 × 509,448
  4. Step 4: Simplify right side
    236,148x = 259,537,264,704
  5. Step 5: Solve for x
    x = 259,537,264,704/236,148
  6. Step 6: Final answer
    x = 1,099,044.94

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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.