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Finding the Third Proportional to 599,845.50 and 953,957.25

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Solution

The third proportional to 599,845.50 and 953,957.25 is: 1,517,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,845.50 : 953,957.25 = 953,957.25 : x
  2. Step 2: Convert to fraction form
    599,845.50/953,957.25 = 953,957.25/x
  3. Step 3: Cross multiply
    599,845.50x = 953,957.25 × 953,957.25
  4. Step 4: Simplify right side
    599,845.50x = 910,034,434,827.56
  5. Step 5: Solve for x
    x = 910,034,434,827.56/599,845.50
  6. Step 6: Final answer
    x = 1,517,114.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.