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Finding the Third Proportional to 642,066.75 and 961,004.25

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Solution

The third proportional to 642,066.75 and 961,004.25 is: 1,438,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,066.75 : 961,004.25 = 961,004.25 : x
  2. Step 2: Convert to fraction form
    642,066.75/961,004.25 = 961,004.25/x
  3. Step 3: Cross multiply
    642,066.75x = 961,004.25 × 961,004.25
  4. Step 4: Simplify right side
    642,066.75x = 923,529,168,518.06
  5. Step 5: Solve for x
    x = 923,529,168,518.06/642,066.75
  6. Step 6: Final answer
    x = 1,438,369.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.