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Finding the Third Proportional to 498,178 and 793,083

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Solution

The third proportional to 498,178 and 793,083 is: 1,262,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,178 : 793,083 = 793,083 : x
  2. Step 2: Convert to fraction form
    498,178/793,083 = 793,083/x
  3. Step 3: Cross multiply
    498,178x = 793,083 × 793,083
  4. Step 4: Simplify right side
    498,178x = 628,980,644,889
  5. Step 5: Solve for x
    x = 628,980,644,889/498,178
  6. Step 6: Final answer
    x = 1,262,562.07

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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.