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Finding the Third Proportional to 286,707.75 and 455,485.50

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Solution

The third proportional to 286,707.75 and 455,485.50 is: 723,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,707.75 : 455,485.50 = 455,485.50 : x
  2. Step 2: Convert to fraction form
    286,707.75/455,485.50 = 455,485.50/x
  3. Step 3: Cross multiply
    286,707.75x = 455,485.50 × 455,485.50
  4. Step 4: Simplify right side
    286,707.75x = 207,467,040,710.25
  5. Step 5: Solve for x
    x = 207,467,040,710.25/286,707.75
  6. Step 6: Final answer
    x = 723,618.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.