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Finding the Third Proportional to 558,472.50 and 1,219,361.06

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Solution

The third proportional to 558,472.50 and 1,219,361.06 is: 2,662,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,472.50 : 1,219,361.06 = 1,219,361.06 : x
  2. Step 2: Convert to fraction form
    558,472.50/1,219,361.06 = 1,219,361.06/x
  3. Step 3: Cross multiply
    558,472.50x = 1,219,361.06 × 1,219,361.06
  4. Step 4: Simplify right side
    558,472.50x = 1,486,841,400,741.13
  5. Step 5: Solve for x
    x = 1,486,841,400,741.13/558,472.50
  6. Step 6: Final answer
    x = 2,662,335.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.