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Finding the Third Proportional to 297,630 and 651,150

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Solution

The third proportional to 297,630 and 651,150 is: 1,424,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,630 : 651,150 = 651,150 : x
  2. Step 2: Convert to fraction form
    297,630/651,150 = 651,150/x
  3. Step 3: Cross multiply
    297,630x = 651,150 × 651,150
  4. Step 4: Simplify right side
    297,630x = 423,996,322,500
  5. Step 5: Solve for x
    x = 423,996,322,500/297,630
  6. Step 6: Final answer
    x = 1,424,575.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.