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Finding the Third Proportional to 236,594.25 and 512,534.25

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Solution

The third proportional to 236,594.25 and 512,534.25 is: 1,110,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,594.25 : 512,534.25 = 512,534.25 : x
  2. Step 2: Convert to fraction form
    236,594.25/512,534.25 = 512,534.25/x
  3. Step 3: Cross multiply
    236,594.25x = 512,534.25 × 512,534.25
  4. Step 4: Simplify right side
    236,594.25x = 262,691,357,423.06
  5. Step 5: Solve for x
    x = 262,691,357,423.06/236,594.25
  6. Step 6: Final answer
    x = 1,110,303.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.