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Finding the Third Proportional to 250,432.88 and 590,573.81

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Solution

The third proportional to 250,432.88 and 590,573.81 is: 1,392,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,432.88 : 590,573.81 = 590,573.81 : x
  2. Step 2: Convert to fraction form
    250,432.88/590,573.81 = 590,573.81/x
  3. Step 3: Cross multiply
    250,432.88x = 590,573.81 × 590,573.81
  4. Step 4: Simplify right side
    250,432.88x = 348,777,428,010.79
  5. Step 5: Solve for x
    x = 348,777,428,010.79/250,432.88
  6. Step 6: Final answer
    x = 1,392,698.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.