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Finding the Third Proportional to 254,599.50 and 558,123

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Solution

The third proportional to 254,599.50 and 558,123 is: 1,223,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,599.50 : 558,123 = 558,123 : x
  2. Step 2: Convert to fraction form
    254,599.50/558,123 = 558,123/x
  3. Step 3: Cross multiply
    254,599.50x = 558,123 × 558,123
  4. Step 4: Simplify right side
    254,599.50x = 311,501,283,129
  5. Step 5: Solve for x
    x = 311,501,283,129/254,599.50
  6. Step 6: Final answer
    x = 1,223,495.27

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Why These Related Problems?

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