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Finding the Third Proportional to 598,648 and 929,454

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Solution

The third proportional to 598,648 and 929,454 is: 1,443,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,648 : 929,454 = 929,454 : x
  2. Step 2: Convert to fraction form
    598,648/929,454 = 929,454/x
  3. Step 3: Cross multiply
    598,648x = 929,454 × 929,454
  4. Step 4: Simplify right side
    598,648x = 863,884,738,116
  5. Step 5: Solve for x
    x = 863,884,738,116/598,648
  6. Step 6: Final answer
    x = 1,443,059.59

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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.