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Finding the Third Proportional to 710,161.50 and 959,786.25

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Solution

The third proportional to 710,161.50 and 959,786.25 is: 1,297,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,161.50 : 959,786.25 = 959,786.25 : x
  2. Step 2: Convert to fraction form
    710,161.50/959,786.25 = 959,786.25/x
  3. Step 3: Cross multiply
    710,161.50x = 959,786.25 × 959,786.25
  4. Step 4: Simplify right side
    710,161.50x = 921,189,645,689.06
  5. Step 5: Solve for x
    x = 921,189,645,689.06/710,161.50
  6. Step 6: Final answer
    x = 1,297,155.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.