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Finding the Third Proportional to 357,698 and 758,043

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Solution

The third proportional to 357,698 and 758,043 is: 1,606,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,698 : 758,043 = 758,043 : x
  2. Step 2: Convert to fraction form
    357,698/758,043 = 758,043/x
  3. Step 3: Cross multiply
    357,698x = 758,043 × 758,043
  4. Step 4: Simplify right side
    357,698x = 574,629,189,849
  5. Step 5: Solve for x
    x = 574,629,189,849/357,698
  6. Step 6: Final answer
    x = 1,606,464.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.