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Finding the Third Proportional to 333,799 and 512,363

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Solution

The third proportional to 333,799 and 512,363 is: 786,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,799 : 512,363 = 512,363 : x
  2. Step 2: Convert to fraction form
    333,799/512,363 = 512,363/x
  3. Step 3: Cross multiply
    333,799x = 512,363 × 512,363
  4. Step 4: Simplify right side
    333,799x = 262,515,843,769
  5. Step 5: Solve for x
    x = 262,515,843,769/333,799
  6. Step 6: Final answer
    x = 786,448.86

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