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Finding the Third Proportional to 313,450,306 and 731,957,770

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Solution

The third proportional to 313,450,306 and 731,957,770 is: 1,709,241,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450,306 : 731,957,770 = 731,957,770 : x
  2. Step 2: Convert to fraction form
    313,450,306/731,957,770 = 731,957,770/x
  3. Step 3: Cross multiply
    313,450,306x = 731,957,770 × 731,957,770
  4. Step 4: Simplify right side
    313,450,306x = 535,762,177,063,372,928
  5. Step 5: Solve for x
    x = 535,762,177,063,372,928/313,450,306
  6. Step 6: Final answer
    x = 1,709,241,199.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.