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Finding the Third Proportional to 289,303,364 and 436,645,410

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Solution

The third proportional to 289,303,364 and 436,645,410 is: 659,028,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,303,364 : 436,645,410 = 436,645,410 : x
  2. Step 2: Convert to fraction form
    289,303,364/436,645,410 = 436,645,410/x
  3. Step 3: Cross multiply
    289,303,364x = 436,645,410 × 436,645,410
  4. Step 4: Simplify right side
    289,303,364x = 190,659,214,074,068,096
  5. Step 5: Solve for x
    x = 190,659,214,074,068,096/289,303,364
  6. Step 6: Final answer
    x = 659,028,679.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.