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Finding the Third Proportional to 660,231 and 971,574.75

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Solution

The third proportional to 660,231 and 971,574.75 is: 1,429,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,231 : 971,574.75 = 971,574.75 : x
  2. Step 2: Convert to fraction form
    660,231/971,574.75 = 971,574.75/x
  3. Step 3: Cross multiply
    660,231x = 971,574.75 × 971,574.75
  4. Step 4: Simplify right side
    660,231x = 943,957,494,837.56
  5. Step 5: Solve for x
    x = 943,957,494,837.56/660,231
  6. Step 6: Final answer
    x = 1,429,738.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.