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Finding the Third Proportional to 286,485 and 607,121.25

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Solution

The third proportional to 286,485 and 607,121.25 is: 1,286,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,485 : 607,121.25 = 607,121.25 : x
  2. Step 2: Convert to fraction form
    286,485/607,121.25 = 607,121.25/x
  3. Step 3: Cross multiply
    286,485x = 607,121.25 × 607,121.25
  4. Step 4: Simplify right side
    286,485x = 368,596,212,201.56
  5. Step 5: Solve for x
    x = 368,596,212,201.56/286,485
  6. Step 6: Final answer
    x = 1,286,616.10

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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.