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Finding the Third Proportional to 297,080 and 445,548

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Solution

The third proportional to 297,080 and 445,548 is: 668,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,080 : 445,548 = 445,548 : x
  2. Step 2: Convert to fraction form
    297,080/445,548 = 445,548/x
  3. Step 3: Cross multiply
    297,080x = 445,548 × 445,548
  4. Step 4: Simplify right side
    297,080x = 198,513,020,304
  5. Step 5: Solve for x
    x = 198,513,020,304/297,080
  6. Step 6: Final answer
    x = 668,214.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.