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Finding the Third Proportional to 236,643.75 and 506,536.88

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Solution

The third proportional to 236,643.75 and 506,536.88 is: 1,084,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,643.75 : 506,536.88 = 506,536.88 : x
  2. Step 2: Convert to fraction form
    236,643.75/506,536.88 = 506,536.88/x
  3. Step 3: Cross multiply
    236,643.75x = 506,536.88 × 506,536.88
  4. Step 4: Simplify right side
    236,643.75x = 256,579,605,734.77
  5. Step 5: Solve for x
    x = 256,579,605,734.77/236,643.75
  6. Step 6: Final answer
    x = 1,084,244.17

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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.