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Finding the Third Proportional to 345,259,704 and 739,766,232

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Solution

The third proportional to 345,259,704 and 739,766,232 is: 1,585,050,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,259,704 : 739,766,232 = 739,766,232 : x
  2. Step 2: Convert to fraction form
    345,259,704/739,766,232 = 739,766,232/x
  3. Step 3: Cross multiply
    345,259,704x = 739,766,232 × 739,766,232
  4. Step 4: Simplify right side
    345,259,704x = 547,254,078,007,477,824
  5. Step 5: Solve for x
    x = 547,254,078,007,477,824/345,259,704
  6. Step 6: Final answer
    x = 1,585,050,533.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.