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Finding the Third Proportional to 285,350.34 and 674,826.19

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Solution

The third proportional to 285,350.34 and 674,826.19 is: 1,595,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,350.34 : 674,826.19 = 674,826.19 : x
  2. Step 2: Convert to fraction form
    285,350.34/674,826.19 = 674,826.19/x
  3. Step 3: Cross multiply
    285,350.34x = 674,826.19 × 674,826.19
  4. Step 4: Simplify right side
    285,350.34x = 455,390,383,335.79
  5. Step 5: Solve for x
    x = 455,390,383,335.79/285,350.34
  6. Step 6: Final answer
    x = 1,595,899.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.