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Finding the Third Proportional to 357,615 and 765,004.50

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Solution

The third proportional to 357,615 and 765,004.50 is: 1,636,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,615 : 765,004.50 = 765,004.50 : x
  2. Step 2: Convert to fraction form
    357,615/765,004.50 = 765,004.50/x
  3. Step 3: Cross multiply
    357,615x = 765,004.50 × 765,004.50
  4. Step 4: Simplify right side
    357,615x = 585,231,885,020.25
  5. Step 5: Solve for x
    x = 585,231,885,020.25/357,615
  6. Step 6: Final answer
    x = 1,636,485.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.