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Finding the Third Proportional to 280,970 and 608,596

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Solution

The third proportional to 280,970 and 608,596 is: 1,318,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,970 : 608,596 = 608,596 : x
  2. Step 2: Convert to fraction form
    280,970/608,596 = 608,596/x
  3. Step 3: Cross multiply
    280,970x = 608,596 × 608,596
  4. Step 4: Simplify right side
    280,970x = 370,389,091,216
  5. Step 5: Solve for x
    x = 370,389,091,216/280,970
  6. Step 6: Final answer
    x = 1,318,251.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.