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Finding the Third Proportional to 440,512 and 700,152

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Solution

The third proportional to 440,512 and 700,152 is: 1,112,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,512 : 700,152 = 700,152 : x
  2. Step 2: Convert to fraction form
    440,512/700,152 = 700,152/x
  3. Step 3: Cross multiply
    440,512x = 700,152 × 700,152
  4. Step 4: Simplify right side
    440,512x = 490,212,823,104
  5. Step 5: Solve for x
    x = 490,212,823,104/440,512
  6. Step 6: Final answer
    x = 1,112,825.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.