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Finding the Third Proportional to 333,778.50 and 695,169

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Solution

The third proportional to 333,778.50 and 695,169 is: 1,447,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,778.50 : 695,169 = 695,169 : x
  2. Step 2: Convert to fraction form
    333,778.50/695,169 = 695,169/x
  3. Step 3: Cross multiply
    333,778.50x = 695,169 × 695,169
  4. Step 4: Simplify right side
    333,778.50x = 483,259,938,561
  5. Step 5: Solve for x
    x = 483,259,938,561/333,778.50
  6. Step 6: Final answer
    x = 1,447,846.22

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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.