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Finding the Third Proportional to 332,345 and 724,846

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Solution

The third proportional to 332,345 and 724,846 is: 1,580,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,345 : 724,846 = 724,846 : x
  2. Step 2: Convert to fraction form
    332,345/724,846 = 724,846/x
  3. Step 3: Cross multiply
    332,345x = 724,846 × 724,846
  4. Step 4: Simplify right side
    332,345x = 525,401,723,716
  5. Step 5: Solve for x
    x = 525,401,723,716/332,345
  6. Step 6: Final answer
    x = 1,580,892.52

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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.