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Finding the Third Proportional to 709,630.88 and 1,020,063.38

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Solution

The third proportional to 709,630.88 and 1,020,063.38 is: 1,466,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,630.88 : 1,020,063.38 = 1,020,063.38 : x
  2. Step 2: Convert to fraction form
    709,630.88/1,020,063.38 = 1,020,063.38/x
  3. Step 3: Cross multiply
    709,630.88x = 1,020,063.38 × 1,020,063.38
  4. Step 4: Simplify right side
    709,630.88x = 1,040,529,289,016.39
  5. Step 5: Solve for x
    x = 1,040,529,289,016.39/709,630.88
  6. Step 6: Final answer
    x = 1,466,296.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.