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Finding the Third Proportional to 420,400 and 634,964

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Solution

The third proportional to 420,400 and 634,964 is: 959,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400 : 634,964 = 634,964 : x
  2. Step 2: Convert to fraction form
    420,400/634,964 = 634,964/x
  3. Step 3: Cross multiply
    420,400x = 634,964 × 634,964
  4. Step 4: Simplify right side
    420,400x = 403,179,281,296
  5. Step 5: Solve for x
    x = 403,179,281,296/420,400
  6. Step 6: Final answer
    x = 959,037.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.