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Finding the Third Proportional to 333,804 and 512,371

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Solution

The third proportional to 333,804 and 512,371 is: 786,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,804 : 512,371 = 512,371 : x
  2. Step 2: Convert to fraction form
    333,804/512,371 = 512,371/x
  3. Step 3: Cross multiply
    333,804x = 512,371 × 512,371
  4. Step 4: Simplify right side
    333,804x = 262,524,041,641
  5. Step 5: Solve for x
    x = 262,524,041,641/333,804
  6. Step 6: Final answer
    x = 786,461.64

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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.