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Finding the Third Proportional to 430,198 and 668,307

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Solution

The third proportional to 430,198 and 668,307 is: 1,038,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,198 : 668,307 = 668,307 : x
  2. Step 2: Convert to fraction form
    430,198/668,307 = 668,307/x
  3. Step 3: Cross multiply
    430,198x = 668,307 × 668,307
  4. Step 4: Simplify right side
    430,198x = 446,634,246,249
  5. Step 5: Solve for x
    x = 446,634,246,249/430,198
  6. Step 6: Final answer
    x = 1,038,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.