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Finding the Third Proportional to 552,035.63 and 830,817.56

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Solution

The third proportional to 552,035.63 and 830,817.56 is: 1,250,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,035.63 : 830,817.56 = 830,817.56 : x
  2. Step 2: Convert to fraction form
    552,035.63/830,817.56 = 830,817.56/x
  3. Step 3: Cross multiply
    552,035.63x = 830,817.56 × 830,817.56
  4. Step 4: Simplify right side
    552,035.63x = 690,257,822,158.44
  5. Step 5: Solve for x
    x = 690,257,822,158.44/552,035.63
  6. Step 6: Final answer
    x = 1,250,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.