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Finding the Third Proportional to 387,835,647 and 544,210,200

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Solution

The third proportional to 387,835,647 and 544,210,200 is: 763,634,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,835,647 : 544,210,200 = 544,210,200 : x
  2. Step 2: Convert to fraction form
    387,835,647/544,210,200 = 544,210,200/x
  3. Step 3: Cross multiply
    387,835,647x = 544,210,200 × 544,210,200
  4. Step 4: Simplify right side
    387,835,647x = 296,164,741,784,040,000
  5. Step 5: Solve for x
    x = 296,164,741,784,040,000/387,835,647
  6. Step 6: Final answer
    x = 763,634,658.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.