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Finding the Third Proportional to 363,530.06 and 776,539.31

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Solution

The third proportional to 363,530.06 and 776,539.31 is: 1,658,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,530.06 : 776,539.31 = 776,539.31 : x
  2. Step 2: Convert to fraction form
    363,530.06/776,539.31 = 776,539.31/x
  3. Step 3: Cross multiply
    363,530.06x = 776,539.31 × 776,539.31
  4. Step 4: Simplify right side
    363,530.06x = 603,013,303,857.97
  5. Step 5: Solve for x
    x = 603,013,303,857.97/363,530.06
  6. Step 6: Final answer
    x = 1,658,771.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.