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Finding the Third Proportional to 383,368,240 and 548,221,074

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Solution

The third proportional to 383,368,240 and 548,221,074 is: 783,962,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,368,240 : 548,221,074 = 548,221,074 : x
  2. Step 2: Convert to fraction form
    383,368,240/548,221,074 = 548,221,074/x
  3. Step 3: Cross multiply
    383,368,240x = 548,221,074 × 548,221,074
  4. Step 4: Simplify right side
    383,368,240x = 300,546,345,977,713,472
  5. Step 5: Solve for x
    x = 300,546,345,977,713,472/383,368,240
  6. Step 6: Final answer
    x = 783,962,557.72

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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.