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Finding the Third Proportional to 236,894 and 506,348

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Solution

The third proportional to 236,894 and 506,348 is: 1,082,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,894 : 506,348 = 506,348 : x
  2. Step 2: Convert to fraction form
    236,894/506,348 = 506,348/x
  3. Step 3: Cross multiply
    236,894x = 506,348 × 506,348
  4. Step 4: Simplify right side
    236,894x = 256,388,297,104
  5. Step 5: Solve for x
    x = 256,388,297,104/236,894
  6. Step 6: Final answer
    x = 1,082,291.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.