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Finding the Third Proportional to 709,134.75 and 1,064,428.28

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Solution

The third proportional to 709,134.75 and 1,064,428.28 is: 1,597,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,134.75 : 1,064,428.28 = 1,064,428.28 : x
  2. Step 2: Convert to fraction form
    709,134.75/1,064,428.28 = 1,064,428.28/x
  3. Step 3: Cross multiply
    709,134.75x = 1,064,428.28 × 1,064,428.28
  4. Step 4: Simplify right side
    709,134.75x = 1,133,007,557,609.09
  5. Step 5: Solve for x
    x = 1,133,007,557,609.09/709,134.75
  6. Step 6: Final answer
    x = 1,597,732.39

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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.