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Finding the Third Proportional to 312,201 and 736,744

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Solution

The third proportional to 312,201 and 736,744 is: 1,738,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201 : 736,744 = 736,744 : x
  2. Step 2: Convert to fraction form
    312,201/736,744 = 736,744/x
  3. Step 3: Cross multiply
    312,201x = 736,744 × 736,744
  4. Step 4: Simplify right side
    312,201x = 542,791,721,536
  5. Step 5: Solve for x
    x = 542,791,721,536/312,201
  6. Step 6: Final answer
    x = 1,738,597.00

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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.