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Finding the Third Proportional to 286,476.75 and 596,477.25

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Solution

The third proportional to 286,476.75 and 596,477.25 is: 1,241,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,476.75 : 596,477.25 = 596,477.25 : x
  2. Step 2: Convert to fraction form
    286,476.75/596,477.25 = 596,477.25/x
  3. Step 3: Cross multiply
    286,476.75x = 596,477.25 × 596,477.25
  4. Step 4: Simplify right side
    286,476.75x = 355,785,109,767.56
  5. Step 5: Solve for x
    x = 355,785,109,767.56/286,476.75
  6. Step 6: Final answer
    x = 1,241,933.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.