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Finding the Third Proportional to 384,969 and 794,332.50

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Solution

The third proportional to 384,969 and 794,332.50 is: 1,638,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,969 : 794,332.50 = 794,332.50 : x
  2. Step 2: Convert to fraction form
    384,969/794,332.50 = 794,332.50/x
  3. Step 3: Cross multiply
    384,969x = 794,332.50 × 794,332.50
  4. Step 4: Simplify right side
    384,969x = 630,964,120,556.25
  5. Step 5: Solve for x
    x = 630,964,120,556.25/384,969
  6. Step 6: Final answer
    x = 1,638,999.82

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.