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Finding the Third Proportional to 233,038.88 and 510,540.75

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Solution

The third proportional to 233,038.88 and 510,540.75 is: 1,118,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,038.88 : 510,540.75 = 510,540.75 : x
  2. Step 2: Convert to fraction form
    233,038.88/510,540.75 = 510,540.75/x
  3. Step 3: Cross multiply
    233,038.88x = 510,540.75 × 510,540.75
  4. Step 4: Simplify right side
    233,038.88x = 260,651,857,410.56
  5. Step 5: Solve for x
    x = 260,651,857,410.56/233,038.88
  6. Step 6: Final answer
    x = 1,118,490.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.