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Finding the Third Proportional to 366,261.75 and 760,594.50

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Solution

The third proportional to 366,261.75 and 760,594.50 is: 1,579,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,261.75 : 760,594.50 = 760,594.50 : x
  2. Step 2: Convert to fraction form
    366,261.75/760,594.50 = 760,594.50/x
  3. Step 3: Cross multiply
    366,261.75x = 760,594.50 × 760,594.50
  4. Step 4: Simplify right side
    366,261.75x = 578,503,993,430.25
  5. Step 5: Solve for x
    x = 578,503,993,430.25/366,261.75
  6. Step 6: Final answer
    x = 1,579,482.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.