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Finding the Third Proportional to 359,496.67 and 783,344.67

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Solution

The third proportional to 359,496.67 and 783,344.67 is: 1,706,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,496.67 : 783,344.67 = 783,344.67 : x
  2. Step 2: Convert to fraction form
    359,496.67/783,344.67 = 783,344.67/x
  3. Step 3: Cross multiply
    359,496.67x = 783,344.67 × 783,344.67
  4. Step 4: Simplify right side
    359,496.67x = 613,628,874,954.95
  5. Step 5: Solve for x
    x = 613,628,874,954.95/359,496.67
  6. Step 6: Final answer
    x = 1,706,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.