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Finding the Third Proportional to 373,438 and 574,001

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Solution

The third proportional to 373,438 and 574,001 is: 882,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,438 : 574,001 = 574,001 : x
  2. Step 2: Convert to fraction form
    373,438/574,001 = 574,001/x
  3. Step 3: Cross multiply
    373,438x = 574,001 × 574,001
  4. Step 4: Simplify right side
    373,438x = 329,477,148,001
  5. Step 5: Solve for x
    x = 329,477,148,001/373,438
  6. Step 6: Final answer
    x = 882,280.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.