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Finding the Third Proportional to 617,955 and 827,668.50

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Solution

The third proportional to 617,955 and 827,668.50 is: 1,108,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,955 : 827,668.50 = 827,668.50 : x
  2. Step 2: Convert to fraction form
    617,955/827,668.50 = 827,668.50/x
  3. Step 3: Cross multiply
    617,955x = 827,668.50 × 827,668.50
  4. Step 4: Simplify right side
    617,955x = 685,035,145,892.25
  5. Step 5: Solve for x
    x = 685,035,145,892.25/617,955
  6. Step 6: Final answer
    x = 1,108,551.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.