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Finding the Third Proportional to 476,655,728 and 728,835,504

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Solution

The third proportional to 476,655,728 and 728,835,504 is: 1,114,433,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,655,728 : 728,835,504 = 728,835,504 : x
  2. Step 2: Convert to fraction form
    476,655,728/728,835,504 = 728,835,504/x
  3. Step 3: Cross multiply
    476,655,728x = 728,835,504 × 728,835,504
  4. Step 4: Simplify right side
    476,655,728x = 531,201,191,890,934,016
  5. Step 5: Solve for x
    x = 531,201,191,890,934,016/476,655,728
  6. Step 6: Final answer
    x = 1,114,433,669.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.