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Finding the Third Proportional to 343,096.50 and 752,653.50

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Solution

The third proportional to 343,096.50 and 752,653.50 is: 1,651,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,096.50 : 752,653.50 = 752,653.50 : x
  2. Step 2: Convert to fraction form
    343,096.50/752,653.50 = 752,653.50/x
  3. Step 3: Cross multiply
    343,096.50x = 752,653.50 × 752,653.50
  4. Step 4: Simplify right side
    343,096.50x = 566,487,291,062.25
  5. Step 5: Solve for x
    x = 566,487,291,062.25/343,096.50
  6. Step 6: Final answer
    x = 1,651,101.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.