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Finding the Third Proportional to 373,548 and 559,002

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Solution

The third proportional to 373,548 and 559,002 is: 836,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,548 : 559,002 = 559,002 : x
  2. Step 2: Convert to fraction form
    373,548/559,002 = 559,002/x
  3. Step 3: Cross multiply
    373,548x = 559,002 × 559,002
  4. Step 4: Simplify right side
    373,548x = 312,483,236,004
  5. Step 5: Solve for x
    x = 312,483,236,004/373,548
  6. Step 6: Final answer
    x = 836,527.66

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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.