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Finding the Third Proportional to 602,906.50 and 959,710

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Solution

The third proportional to 602,906.50 and 959,710 is: 1,527,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,906.50 : 959,710 = 959,710 : x
  2. Step 2: Convert to fraction form
    602,906.50/959,710 = 959,710/x
  3. Step 3: Cross multiply
    602,906.50x = 959,710 × 959,710
  4. Step 4: Simplify right side
    602,906.50x = 921,043,284,100
  5. Step 5: Solve for x
    x = 921,043,284,100/602,906.50
  6. Step 6: Final answer
    x = 1,527,671.84

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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.