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Finding the Third Proportional to 345,263,290 and 739,651,482

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Solution

The third proportional to 345,263,290 and 739,651,482 is: 1,584,542,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,263,290 : 739,651,482 = 739,651,482 : x
  2. Step 2: Convert to fraction form
    345,263,290/739,651,482 = 739,651,482/x
  3. Step 3: Cross multiply
    345,263,290x = 739,651,482 × 739,651,482
  4. Step 4: Simplify right side
    345,263,290x = 547,084,314,824,796,352
  5. Step 5: Solve for x
    x = 547,084,314,824,796,352/345,263,290
  6. Step 6: Final answer
    x = 1,584,542,378.73

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