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Finding the Third Proportional to 292,860 and 445,477.50

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Solution

The third proportional to 292,860 and 445,477.50 is: 677,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,860 : 445,477.50 = 445,477.50 : x
  2. Step 2: Convert to fraction form
    292,860/445,477.50 = 445,477.50/x
  3. Step 3: Cross multiply
    292,860x = 445,477.50 × 445,477.50
  4. Step 4: Simplify right side
    292,860x = 198,450,203,006.25
  5. Step 5: Solve for x
    x = 198,450,203,006.25/292,860
  6. Step 6: Final answer
    x = 677,628.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.