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Finding the Third Proportional to 405,752 and 633,194

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Solution

The third proportional to 405,752 and 633,194 is: 988,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,752 : 633,194 = 633,194 : x
  2. Step 2: Convert to fraction form
    405,752/633,194 = 633,194/x
  3. Step 3: Cross multiply
    405,752x = 633,194 × 633,194
  4. Step 4: Simplify right side
    405,752x = 400,934,641,636
  5. Step 5: Solve for x
    x = 400,934,641,636/405,752
  6. Step 6: Final answer
    x = 988,127.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.