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Finding the Third Proportional to 318,354 and 477,504

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Solution

The third proportional to 318,354 and 477,504 is: 716,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,354 : 477,504 = 477,504 : x
  2. Step 2: Convert to fraction form
    318,354/477,504 = 477,504/x
  3. Step 3: Cross multiply
    318,354x = 477,504 × 477,504
  4. Step 4: Simplify right side
    318,354x = 228,010,070,016
  5. Step 5: Solve for x
    x = 228,010,070,016/318,354
  6. Step 6: Final answer
    x = 716,215.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.