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Finding the Third Proportional to 645,243.75 and 998,619.75

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Solution

The third proportional to 645,243.75 and 998,619.75 is: 1,545,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,243.75 : 998,619.75 = 998,619.75 : x
  2. Step 2: Convert to fraction form
    645,243.75/998,619.75 = 998,619.75/x
  3. Step 3: Cross multiply
    645,243.75x = 998,619.75 × 998,619.75
  4. Step 4: Simplify right side
    645,243.75x = 997,241,405,090.06
  5. Step 5: Solve for x
    x = 997,241,405,090.06/645,243.75
  6. Step 6: Final answer
    x = 1,545,526.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.