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Finding the Third Proportional to 309,116.25 and 651,442.50

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Solution

The third proportional to 309,116.25 and 651,442.50 is: 1,372,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,116.25 : 651,442.50 = 651,442.50 : x
  2. Step 2: Convert to fraction form
    309,116.25/651,442.50 = 651,442.50/x
  3. Step 3: Cross multiply
    309,116.25x = 651,442.50 × 651,442.50
  4. Step 4: Simplify right side
    309,116.25x = 424,377,330,806.25
  5. Step 5: Solve for x
    x = 424,377,330,806.25/309,116.25
  6. Step 6: Final answer
    x = 1,372,872.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.