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Finding the Third Proportional to 286,485.19 and 607,120.69

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Solution

The third proportional to 286,485.19 and 607,120.69 is: 1,286,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,485.19 : 607,120.69 = 607,120.69 : x
  2. Step 2: Convert to fraction form
    286,485.19/607,120.69 = 607,120.69/x
  3. Step 3: Cross multiply
    286,485.19x = 607,120.69 × 607,120.69
  4. Step 4: Simplify right side
    286,485.19x = 368,595,529,190.47
  5. Step 5: Solve for x
    x = 368,595,529,190.47/286,485.19
  6. Step 6: Final answer
    x = 1,286,612.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.