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Finding the Third Proportional to 318,008 and 430,354

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Solution

The third proportional to 318,008 and 430,354 is: 582,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,008 : 430,354 = 430,354 : x
  2. Step 2: Convert to fraction form
    318,008/430,354 = 430,354/x
  3. Step 3: Cross multiply
    318,008x = 430,354 × 430,354
  4. Step 4: Simplify right side
    318,008x = 185,204,565,316
  5. Step 5: Solve for x
    x = 185,204,565,316/318,008
  6. Step 6: Final answer
    x = 582,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.