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Finding the Third Proportional to 643,185 and 945,507.50

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Solution

The third proportional to 643,185 and 945,507.50 is: 1,389,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,185 : 945,507.50 = 945,507.50 : x
  2. Step 2: Convert to fraction form
    643,185/945,507.50 = 945,507.50/x
  3. Step 3: Cross multiply
    643,185x = 945,507.50 × 945,507.50
  4. Step 4: Simplify right side
    643,185x = 893,984,432,556.25
  5. Step 5: Solve for x
    x = 893,984,432,556.25/643,185
  6. Step 6: Final answer
    x = 1,389,933.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.