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Finding the Third Proportional to 380,278.50 and 584,566.50

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Solution

The third proportional to 380,278.50 and 584,566.50 is: 898,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,278.50 : 584,566.50 = 584,566.50 : x
  2. Step 2: Convert to fraction form
    380,278.50/584,566.50 = 584,566.50/x
  3. Step 3: Cross multiply
    380,278.50x = 584,566.50 × 584,566.50
  4. Step 4: Simplify right side
    380,278.50x = 341,717,992,922.25
  5. Step 5: Solve for x
    x = 341,717,992,922.25/380,278.50
  6. Step 6: Final answer
    x = 898,599.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.