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Finding the Third Proportional to 210,012 and 460,847.63

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Solution

The third proportional to 210,012 and 460,847.63 is: 1,011,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,012 : 460,847.63 = 460,847.63 : x
  2. Step 2: Convert to fraction form
    210,012/460,847.63 = 460,847.63/x
  3. Step 3: Cross multiply
    210,012x = 460,847.63 × 460,847.63
  4. Step 4: Simplify right side
    210,012x = 212,380,533,468.14
  5. Step 5: Solve for x
    x = 212,380,533,468.14/210,012
  6. Step 6: Final answer
    x = 1,011,278.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.