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Finding the Third Proportional to 498,222 and 793,146

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Solution

The third proportional to 498,222 and 793,146 is: 1,262,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,222 : 793,146 = 793,146 : x
  2. Step 2: Convert to fraction form
    498,222/793,146 = 793,146/x
  3. Step 3: Cross multiply
    498,222x = 793,146 × 793,146
  4. Step 4: Simplify right side
    498,222x = 629,080,577,316
  5. Step 5: Solve for x
    x = 629,080,577,316/498,222
  6. Step 6: Final answer
    x = 1,262,651.14

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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.