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Finding the Third Proportional to 358,731,596 and 512,986,793.50

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Solution

The third proportional to 358,731,596 and 512,986,793.50 is: 733,571,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,731,596 : 512,986,793.50 = 512,986,793.50 : x
  2. Step 2: Convert to fraction form
    358,731,596/512,986,793.50 = 512,986,793.50/x
  3. Step 3: Cross multiply
    358,731,596x = 512,986,793.50 × 512,986,793.50
  4. Step 4: Simplify right side
    358,731,596x = 263,155,450,305,411,648
  5. Step 5: Solve for x
    x = 263,155,450,305,411,648/358,731,596
  6. Step 6: Final answer
    x = 733,571,988.75

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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.