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Finding the Third Proportional to 340,052.25 and 744,742.50

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Solution

The third proportional to 340,052.25 and 744,742.50 is: 1,631,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,052.25 : 744,742.50 = 744,742.50 : x
  2. Step 2: Convert to fraction form
    340,052.25/744,742.50 = 744,742.50/x
  3. Step 3: Cross multiply
    340,052.25x = 744,742.50 × 744,742.50
  4. Step 4: Simplify right side
    340,052.25x = 554,641,391,306.25
  5. Step 5: Solve for x
    x = 554,641,391,306.25/340,052.25
  6. Step 6: Final answer
    x = 1,631,047.56

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Why These Related Problems?

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