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Finding the Third Proportional to 233,809.88 and 508,561.88

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Solution

The third proportional to 233,809.88 and 508,561.88 is: 1,106,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,809.88 : 508,561.88 = 508,561.88 : x
  2. Step 2: Convert to fraction form
    233,809.88/508,561.88 = 508,561.88/x
  3. Step 3: Cross multiply
    233,809.88x = 508,561.88 × 508,561.88
  4. Step 4: Simplify right side
    233,809.88x = 258,635,180,703.52
  5. Step 5: Solve for x
    x = 258,635,180,703.52/233,809.88
  6. Step 6: Final answer
    x = 1,106,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.