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Finding the Third Proportional to 623,328 and 967,068

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Solution

The third proportional to 623,328 and 967,068 is: 1,500,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,328 : 967,068 = 967,068 : x
  2. Step 2: Convert to fraction form
    623,328/967,068 = 967,068/x
  3. Step 3: Cross multiply
    623,328x = 967,068 × 967,068
  4. Step 4: Simplify right side
    623,328x = 935,220,516,624
  5. Step 5: Solve for x
    x = 935,220,516,624/623,328
  6. Step 6: Final answer
    x = 1,500,366.61

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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.