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Finding the Third Proportional to 318,334 and 477,501

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Solution

The third proportional to 318,334 and 477,501 is: 716,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,334 : 477,501 = 477,501 : x
  2. Step 2: Convert to fraction form
    318,334/477,501 = 477,501/x
  3. Step 3: Cross multiply
    318,334x = 477,501 × 477,501
  4. Step 4: Simplify right side
    318,334x = 228,007,205,001
  5. Step 5: Solve for x
    x = 228,007,205,001/318,334
  6. Step 6: Final answer
    x = 716,251.50

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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.