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Finding the Third Proportional to 333,252 and 723,368

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Solution

The third proportional to 333,252 and 723,368 is: 1,570,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,252 : 723,368 = 723,368 : x
  2. Step 2: Convert to fraction form
    333,252/723,368 = 723,368/x
  3. Step 3: Cross multiply
    333,252x = 723,368 × 723,368
  4. Step 4: Simplify right side
    333,252x = 523,261,263,424
  5. Step 5: Solve for x
    x = 523,261,263,424/333,252
  6. Step 6: Final answer
    x = 1,570,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.