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Finding the Third Proportional to 373,400 and 589,260

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Solution

The third proportional to 373,400 and 589,260 is: 929,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,400 : 589,260 = 589,260 : x
  2. Step 2: Convert to fraction form
    373,400/589,260 = 589,260/x
  3. Step 3: Cross multiply
    373,400x = 589,260 × 589,260
  4. Step 4: Simplify right side
    373,400x = 347,227,347,600
  5. Step 5: Solve for x
    x = 347,227,347,600/373,400
  6. Step 6: Final answer
    x = 929,907.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.