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Finding the Third Proportional to 252,404,214 and 377,597,340

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Solution

The third proportional to 252,404,214 and 377,597,340 is: 564,886,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,404,214 : 377,597,340 = 377,597,340 : x
  2. Step 2: Convert to fraction form
    252,404,214/377,597,340 = 377,597,340/x
  3. Step 3: Cross multiply
    252,404,214x = 377,597,340 × 377,597,340
  4. Step 4: Simplify right side
    252,404,214x = 142,579,751,175,075,600
  5. Step 5: Solve for x
    x = 142,579,751,175,075,600/252,404,214
  6. Step 6: Final answer
    x = 564,886,571.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.