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Finding the Third Proportional to 236,752.88 and 506,811.94

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Solution

The third proportional to 236,752.88 and 506,811.94 is: 1,084,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,752.88 : 506,811.94 = 506,811.94 : x
  2. Step 2: Convert to fraction form
    236,752.88/506,811.94 = 506,811.94/x
  3. Step 3: Cross multiply
    236,752.88x = 506,811.94 × 506,811.94
  4. Step 4: Simplify right side
    236,752.88x = 256,858,339,992.50
  5. Step 5: Solve for x
    x = 256,858,339,992.50/236,752.88
  6. Step 6: Final answer
    x = 1,084,921.74

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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.