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Finding the Third Proportional to 332,363 and 724,881

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Solution

The third proportional to 332,363 and 724,881 is: 1,580,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,363 : 724,881 = 724,881 : x
  2. Step 2: Convert to fraction form
    332,363/724,881 = 724,881/x
  3. Step 3: Cross multiply
    332,363x = 724,881 × 724,881
  4. Step 4: Simplify right side
    332,363x = 525,452,464,161
  5. Step 5: Solve for x
    x = 525,452,464,161/332,363
  6. Step 6: Final answer
    x = 1,580,959.57

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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.