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Finding the Third Proportional to 285,012 and 451,284.75

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Solution

The third proportional to 285,012 and 451,284.75 is: 714,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,012 : 451,284.75 = 451,284.75 : x
  2. Step 2: Convert to fraction form
    285,012/451,284.75 = 451,284.75/x
  3. Step 3: Cross multiply
    285,012x = 451,284.75 × 451,284.75
  4. Step 4: Simplify right side
    285,012x = 203,657,925,582.56
  5. Step 5: Solve for x
    x = 203,657,925,582.56/285,012
  6. Step 6: Final answer
    x = 714,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.