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Finding the Third Proportional to 241,670 and 518,332

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Solution

The third proportional to 241,670 and 518,332 is: 1,111,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,670 : 518,332 = 518,332 : x
  2. Step 2: Convert to fraction form
    241,670/518,332 = 518,332/x
  3. Step 3: Cross multiply
    241,670x = 518,332 × 518,332
  4. Step 4: Simplify right side
    241,670x = 268,668,062,224
  5. Step 5: Solve for x
    x = 268,668,062,224/241,670
  6. Step 6: Final answer
    x = 1,111,714.58

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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.