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Finding the Third Proportional to 293,958 and 429,600

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Solution

The third proportional to 293,958 and 429,600 is: 627,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958 : 429,600 = 429,600 : x
  2. Step 2: Convert to fraction form
    293,958/429,600 = 429,600/x
  3. Step 3: Cross multiply
    293,958x = 429,600 × 429,600
  4. Step 4: Simplify right side
    293,958x = 184,556,160,000
  5. Step 5: Solve for x
    x = 184,556,160,000/293,958
  6. Step 6: Final answer
    x = 627,831.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.