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Finding the Third Proportional to 365,377,734 and 527,907,729

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Solution

The third proportional to 365,377,734 and 527,907,729 is: 762,735,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,377,734 : 527,907,729 = 527,907,729 : x
  2. Step 2: Convert to fraction form
    365,377,734/527,907,729 = 527,907,729/x
  3. Step 3: Cross multiply
    365,377,734x = 527,907,729 × 527,907,729
  4. Step 4: Simplify right side
    365,377,734x = 278,686,570,337,937,440
  5. Step 5: Solve for x
    x = 278,686,570,337,937,440/365,377,734
  6. Step 6: Final answer
    x = 762,735,504.67

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Why These Related Problems?

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