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Finding the Third Proportional to 263,862.75 and 514,602.38

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Solution

The third proportional to 263,862.75 and 514,602.38 is: 1,003,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,862.75 : 514,602.38 = 514,602.38 : x
  2. Step 2: Convert to fraction form
    263,862.75/514,602.38 = 514,602.38/x
  3. Step 3: Cross multiply
    263,862.75x = 514,602.38 × 514,602.38
  4. Step 4: Simplify right side
    263,862.75x = 264,815,604,355.64
  5. Step 5: Solve for x
    x = 264,815,604,355.64/263,862.75
  6. Step 6: Final answer
    x = 1,003,611.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.