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Finding the Third Proportional to 486,027 and 729,031.50

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Solution

The third proportional to 486,027 and 729,031.50 is: 1,093,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,027 : 729,031.50 = 729,031.50 : x
  2. Step 2: Convert to fraction form
    486,027/729,031.50 = 729,031.50/x
  3. Step 3: Cross multiply
    486,027x = 729,031.50 × 729,031.50
  4. Step 4: Simplify right side
    486,027x = 531,486,927,992.25
  5. Step 5: Solve for x
    x = 531,486,927,992.25/486,027
  6. Step 6: Final answer
    x = 1,093,533.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.