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Finding the Third Proportional to 312,014 and 736,295

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Solution

The third proportional to 312,014 and 736,295 is: 1,737,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,014 : 736,295 = 736,295 : x
  2. Step 2: Convert to fraction form
    312,014/736,295 = 736,295/x
  3. Step 3: Cross multiply
    312,014x = 736,295 × 736,295
  4. Step 4: Simplify right side
    312,014x = 542,130,327,025
  5. Step 5: Solve for x
    x = 542,130,327,025/312,014
  6. Step 6: Final answer
    x = 1,737,519.24

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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.