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Finding the Third Proportional to 286,563 and 596,384

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Solution

The third proportional to 286,563 and 596,384 is: 1,241,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,563 : 596,384 = 596,384 : x
  2. Step 2: Convert to fraction form
    286,563/596,384 = 596,384/x
  3. Step 3: Cross multiply
    286,563x = 596,384 × 596,384
  4. Step 4: Simplify right side
    286,563x = 355,673,875,456
  5. Step 5: Solve for x
    x = 355,673,875,456/286,563
  6. Step 6: Final answer
    x = 1,241,171.66

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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.