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Finding the Third Proportional to 285,703.50 and 622,203

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Solution

The third proportional to 285,703.50 and 622,203 is: 1,355,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.50 : 622,203 = 622,203 : x
  2. Step 2: Convert to fraction form
    285,703.50/622,203 = 622,203/x
  3. Step 3: Cross multiply
    285,703.50x = 622,203 × 622,203
  4. Step 4: Simplify right side
    285,703.50x = 387,136,573,209
  5. Step 5: Solve for x
    x = 387,136,573,209/285,703.50
  6. Step 6: Final answer
    x = 1,355,029.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.