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Finding the Third Proportional to 236,587.50 and 513,104.63

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Solution

The third proportional to 236,587.50 and 513,104.63 is: 1,112,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,587.50 : 513,104.63 = 513,104.63 : x
  2. Step 2: Convert to fraction form
    236,587.50/513,104.63 = 513,104.63/x
  3. Step 3: Cross multiply
    236,587.50x = 513,104.63 × 513,104.63
  4. Step 4: Simplify right side
    236,587.50x = 263,276,356,196.39
  5. Step 5: Solve for x
    x = 263,276,356,196.39/236,587.50
  6. Step 6: Final answer
    x = 1,112,807.55

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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.