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Finding the Third Proportional to 335,931,489 and 480,382,609.50

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Solution

The third proportional to 335,931,489 and 480,382,609.50 is: 686,947,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,931,489 : 480,382,609.50 = 480,382,609.50 : x
  2. Step 2: Convert to fraction form
    335,931,489/480,382,609.50 = 480,382,609.50/x
  3. Step 3: Cross multiply
    335,931,489x = 480,382,609.50 × 480,382,609.50
  4. Step 4: Simplify right side
    335,931,489x = 230,767,451,510,029,504
  5. Step 5: Solve for x
    x = 230,767,451,510,029,504/335,931,489
  6. Step 6: Final answer
    x = 686,947,961.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.