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Finding the Third Proportional to 476,052,564 and 735,622,578

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Solution

The third proportional to 476,052,564 and 735,622,578 is: 1,136,724,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,052,564 : 735,622,578 = 735,622,578 : x
  2. Step 2: Convert to fraction form
    476,052,564/735,622,578 = 735,622,578/x
  3. Step 3: Cross multiply
    476,052,564x = 735,622,578 × 735,622,578
  4. Step 4: Simplify right side
    476,052,564x = 541,140,577,263,366,080
  5. Step 5: Solve for x
    x = 541,140,577,263,366,080/476,052,564
  6. Step 6: Final answer
    x = 1,136,724,425.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.