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Finding the Third Proportional to 253,226.50 and 591,594

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Solution

The third proportional to 253,226.50 and 591,594 is: 1,382,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,226.50 : 591,594 = 591,594 : x
  2. Step 2: Convert to fraction form
    253,226.50/591,594 = 591,594/x
  3. Step 3: Cross multiply
    253,226.50x = 591,594 × 591,594
  4. Step 4: Simplify right side
    253,226.50x = 349,983,460,836
  5. Step 5: Solve for x
    x = 349,983,460,836/253,226.50
  6. Step 6: Final answer
    x = 1,382,096.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.