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Finding the Third Proportional to 397,712.53 and 858,453.19

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Solution

The third proportional to 397,712.53 and 858,453.19 is: 1,852,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.53 : 858,453.19 = 858,453.19 : x
  2. Step 2: Convert to fraction form
    397,712.53/858,453.19 = 858,453.19/x
  3. Step 3: Cross multiply
    397,712.53x = 858,453.19 × 858,453.19
  4. Step 4: Simplify right side
    397,712.53x = 736,941,875,128.91
  5. Step 5: Solve for x
    x = 736,941,875,128.91/397,712.53
  6. Step 6: Final answer
    x = 1,852,951.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.