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Finding the Third Proportional to 552,519.56 and 830,835.56

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Solution

The third proportional to 552,519.56 and 830,835.56 is: 1,249,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,519.56 : 830,835.56 = 830,835.56 : x
  2. Step 2: Convert to fraction form
    552,519.56/830,835.56 = 830,835.56/x
  3. Step 3: Cross multiply
    552,519.56x = 830,835.56 × 830,835.56
  4. Step 4: Simplify right side
    552,519.56x = 690,287,731,914.69
  5. Step 5: Solve for x
    x = 690,287,731,914.69/552,519.56
  6. Step 6: Final answer
    x = 1,249,345.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.