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Finding the Third Proportional to 345,373,520 and 704,620,728

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Solution

The third proportional to 345,373,520 and 704,620,728 is: 1,437,546,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,373,520 : 704,620,728 = 704,620,728 : x
  2. Step 2: Convert to fraction form
    345,373,520/704,620,728 = 704,620,728/x
  3. Step 3: Cross multiply
    345,373,520x = 704,620,728 × 704,620,728
  4. Step 4: Simplify right side
    345,373,520x = 496,490,370,327,249,984
  5. Step 5: Solve for x
    x = 496,490,370,327,249,984/345,373,520
  6. Step 6: Final answer
    x = 1,437,546,139.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.