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Finding the Third Proportional to 235,256 and 500,842

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Solution

The third proportional to 235,256 and 500,842 is: 1,066,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,256 : 500,842 = 500,842 : x
  2. Step 2: Convert to fraction form
    235,256/500,842 = 500,842/x
  3. Step 3: Cross multiply
    235,256x = 500,842 × 500,842
  4. Step 4: Simplify right side
    235,256x = 250,842,708,964
  5. Step 5: Solve for x
    x = 250,842,708,964/235,256
  6. Step 6: Final answer
    x = 1,066,254.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.