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Finding the Third Proportional to 355,719 and 546,699

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Solution

The third proportional to 355,719 and 546,699 is: 840,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,719 : 546,699 = 546,699 : x
  2. Step 2: Convert to fraction form
    355,719/546,699 = 546,699/x
  3. Step 3: Cross multiply
    355,719x = 546,699 × 546,699
  4. Step 4: Simplify right side
    355,719x = 298,879,796,601
  5. Step 5: Solve for x
    x = 298,879,796,601/355,719
  6. Step 6: Final answer
    x = 840,213.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.