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Finding the Third Proportional to 597,379.50 and 946,383.75

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Solution

The third proportional to 597,379.50 and 946,383.75 is: 1,499,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,379.50 : 946,383.75 = 946,383.75 : x
  2. Step 2: Convert to fraction form
    597,379.50/946,383.75 = 946,383.75/x
  3. Step 3: Cross multiply
    597,379.50x = 946,383.75 × 946,383.75
  4. Step 4: Simplify right side
    597,379.50x = 895,642,202,264.06
  5. Step 5: Solve for x
    x = 895,642,202,264.06/597,379.50
  6. Step 6: Final answer
    x = 1,499,285.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.