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Finding the Third Proportional to 371,400.75 and 560,994.75

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Solution

The third proportional to 371,400.75 and 560,994.75 is: 847,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,400.75 : 560,994.75 = 560,994.75 : x
  2. Step 2: Convert to fraction form
    371,400.75/560,994.75 = 560,994.75/x
  3. Step 3: Cross multiply
    371,400.75x = 560,994.75 × 560,994.75
  4. Step 4: Simplify right side
    371,400.75x = 314,715,109,527.56
  5. Step 5: Solve for x
    x = 314,715,109,527.56/371,400.75
  6. Step 6: Final answer
    x = 847,373.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.