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Finding the Third Proportional to 373,541 and 558,991

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Solution

The third proportional to 373,541 and 558,991 is: 836,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,541 : 558,991 = 558,991 : x
  2. Step 2: Convert to fraction form
    373,541/558,991 = 558,991/x
  3. Step 3: Cross multiply
    373,541x = 558,991 × 558,991
  4. Step 4: Simplify right side
    373,541x = 312,470,938,081
  5. Step 5: Solve for x
    x = 312,470,938,081/373,541
  6. Step 6: Final answer
    x = 836,510.42

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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.