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Finding the Third Proportional to 233,598.94 and 502,736.63

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Solution

The third proportional to 233,598.94 and 502,736.63 is: 1,081,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,598.94 : 502,736.63 = 502,736.63 : x
  2. Step 2: Convert to fraction form
    233,598.94/502,736.63 = 502,736.63/x
  3. Step 3: Cross multiply
    233,598.94x = 502,736.63 × 502,736.63
  4. Step 4: Simplify right side
    233,598.94x = 252,744,114,116.39
  5. Step 5: Solve for x
    x = 252,744,114,116.39/233,598.94
  6. Step 6: Final answer
    x = 1,081,957.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.