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Finding the Third Proportional to 312,264 and 736,890

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Solution

The third proportional to 312,264 and 736,890 is: 1,738,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,264 : 736,890 = 736,890 : x
  2. Step 2: Convert to fraction form
    312,264/736,890 = 736,890/x
  3. Step 3: Cross multiply
    312,264x = 736,890 × 736,890
  4. Step 4: Simplify right side
    312,264x = 543,006,872,100
  5. Step 5: Solve for x
    x = 543,006,872,100/312,264
  6. Step 6: Final answer
    x = 1,738,935.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.