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Finding the Third Proportional to 280,562 and 596,168

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Solution

The third proportional to 280,562 and 596,168 is: 1,266,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,562 : 596,168 = 596,168 : x
  2. Step 2: Convert to fraction form
    280,562/596,168 = 596,168/x
  3. Step 3: Cross multiply
    280,562x = 596,168 × 596,168
  4. Step 4: Simplify right side
    280,562x = 355,416,284,224
  5. Step 5: Solve for x
    x = 355,416,284,224/280,562
  6. Step 6: Final answer
    x = 1,266,801.22

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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.