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Finding the Third Proportional to 280,566 and 596,176

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Solution

The third proportional to 280,566 and 596,176 is: 1,266,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,566 : 596,176 = 596,176 : x
  2. Step 2: Convert to fraction form
    280,566/596,176 = 596,176/x
  3. Step 3: Cross multiply
    280,566x = 596,176 × 596,176
  4. Step 4: Simplify right side
    280,566x = 355,425,822,976
  5. Step 5: Solve for x
    x = 355,425,822,976/280,566
  6. Step 6: Final answer
    x = 1,266,817.16

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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.