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Finding the Third Proportional to 332,412 and 724,992

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Solution

The third proportional to 332,412 and 724,992 is: 1,581,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,412 : 724,992 = 724,992 : x
  2. Step 2: Convert to fraction form
    332,412/724,992 = 724,992/x
  3. Step 3: Cross multiply
    332,412x = 724,992 × 724,992
  4. Step 4: Simplify right side
    332,412x = 525,613,400,064
  5. Step 5: Solve for x
    x = 525,613,400,064/332,412
  6. Step 6: Final answer
    x = 1,581,210.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.