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Finding the Third Proportional to 233,025.75 and 499,234.50

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Solution

The third proportional to 233,025.75 and 499,234.50 is: 1,069,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,025.75 : 499,234.50 = 499,234.50 : x
  2. Step 2: Convert to fraction form
    233,025.75/499,234.50 = 499,234.50/x
  3. Step 3: Cross multiply
    233,025.75x = 499,234.50 × 499,234.50
  4. Step 4: Simplify right side
    233,025.75x = 249,235,085,990.25
  5. Step 5: Solve for x
    x = 249,235,085,990.25/233,025.75
  6. Step 6: Final answer
    x = 1,069,560.28

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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.