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Finding the Third Proportional to 598,628 and 929,420

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Solution

The third proportional to 598,628 and 929,420 is: 1,443,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,628 : 929,420 = 929,420 : x
  2. Step 2: Convert to fraction form
    598,628/929,420 = 929,420/x
  3. Step 3: Cross multiply
    598,628x = 929,420 × 929,420
  4. Step 4: Simplify right side
    598,628x = 863,821,536,400
  5. Step 5: Solve for x
    x = 863,821,536,400/598,628
  6. Step 6: Final answer
    x = 1,443,002.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.