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Finding the Third Proportional to 333,770 and 695,152

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Solution

The third proportional to 333,770 and 695,152 is: 1,447,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,770 : 695,152 = 695,152 : x
  2. Step 2: Convert to fraction form
    333,770/695,152 = 695,152/x
  3. Step 3: Cross multiply
    333,770x = 695,152 × 695,152
  4. Step 4: Simplify right side
    333,770x = 483,236,303,104
  5. Step 5: Solve for x
    x = 483,236,303,104/333,770
  6. Step 6: Final answer
    x = 1,447,812.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.