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Finding the Third Proportional to 500,043 and 794,351

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Solution

The third proportional to 500,043 and 794,351 is: 1,261,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,043 : 794,351 = 794,351 : x
  2. Step 2: Convert to fraction form
    500,043/794,351 = 794,351/x
  3. Step 3: Cross multiply
    500,043x = 794,351 × 794,351
  4. Step 4: Simplify right side
    500,043x = 630,993,511,201
  5. Step 5: Solve for x
    x = 630,993,511,201/500,043
  6. Step 6: Final answer
    x = 1,261,878.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.