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Finding the Third Proportional to 433,037 and 623,770

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Solution

The third proportional to 433,037 and 623,770 is: 898,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,037 : 623,770 = 623,770 : x
  2. Step 2: Convert to fraction form
    433,037/623,770 = 623,770/x
  3. Step 3: Cross multiply
    433,037x = 623,770 × 623,770
  4. Step 4: Simplify right side
    433,037x = 389,089,012,900
  5. Step 5: Solve for x
    x = 389,089,012,900/433,037
  6. Step 6: Final answer
    x = 898,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.