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Finding the Third Proportional to 316,969.50 and 648,514.50

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Solution

The third proportional to 316,969.50 and 648,514.50 is: 1,326,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,969.50 : 648,514.50 = 648,514.50 : x
  2. Step 2: Convert to fraction form
    316,969.50/648,514.50 = 648,514.50/x
  3. Step 3: Cross multiply
    316,969.50x = 648,514.50 × 648,514.50
  4. Step 4: Simplify right side
    316,969.50x = 420,571,056,710.25
  5. Step 5: Solve for x
    x = 420,571,056,710.25/316,969.50
  6. Step 6: Final answer
    x = 1,326,850.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.