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Finding the Third Proportional to 333,802 and 512,368

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Solution

The third proportional to 333,802 and 512,368 is: 786,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,802 : 512,368 = 512,368 : x
  2. Step 2: Convert to fraction form
    333,802/512,368 = 512,368/x
  3. Step 3: Cross multiply
    333,802x = 512,368 × 512,368
  4. Step 4: Simplify right side
    333,802x = 262,520,967,424
  5. Step 5: Solve for x
    x = 262,520,967,424/333,802
  6. Step 6: Final answer
    x = 786,457.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.