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Finding the Third Proportional to 289,608 and 424,060

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Solution

The third proportional to 289,608 and 424,060 is: 620,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,608 : 424,060 = 424,060 : x
  2. Step 2: Convert to fraction form
    289,608/424,060 = 424,060/x
  3. Step 3: Cross multiply
    289,608x = 424,060 × 424,060
  4. Step 4: Simplify right side
    289,608x = 179,826,883,600
  5. Step 5: Solve for x
    x = 179,826,883,600/289,608
  6. Step 6: Final answer
    x = 620,932.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.