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Finding the Third Proportional to 433,116 and 666,580.50

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Solution

The third proportional to 433,116 and 666,580.50 is: 1,025,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,116 : 666,580.50 = 666,580.50 : x
  2. Step 2: Convert to fraction form
    433,116/666,580.50 = 666,580.50/x
  3. Step 3: Cross multiply
    433,116x = 666,580.50 × 666,580.50
  4. Step 4: Simplify right side
    433,116x = 444,329,562,980.25
  5. Step 5: Solve for x
    x = 444,329,562,980.25/433,116
  6. Step 6: Final answer
    x = 1,025,890.44

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