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Finding the Third Proportional to 333,780 and 695,172

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Solution

The third proportional to 333,780 and 695,172 is: 1,447,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,780 : 695,172 = 695,172 : x
  2. Step 2: Convert to fraction form
    333,780/695,172 = 695,172/x
  3. Step 3: Cross multiply
    333,780x = 695,172 × 695,172
  4. Step 4: Simplify right side
    333,780x = 483,264,109,584
  5. Step 5: Solve for x
    x = 483,264,109,584/333,780
  6. Step 6: Final answer
    x = 1,447,852.21

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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.