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Finding the Third Proportional to 371,467 and 558,037.50

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Solution

The third proportional to 371,467 and 558,037.50 is: 838,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,467 : 558,037.50 = 558,037.50 : x
  2. Step 2: Convert to fraction form
    371,467/558,037.50 = 558,037.50/x
  3. Step 3: Cross multiply
    371,467x = 558,037.50 × 558,037.50
  4. Step 4: Simplify right side
    371,467x = 311,405,851,406.25
  5. Step 5: Solve for x
    x = 311,405,851,406.25/371,467
  6. Step 6: Final answer
    x = 838,313.64

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Why These Related Problems?

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