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Finding the Third Proportional to 404,328,413 and 577,794,670

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Solution

The third proportional to 404,328,413 and 577,794,670 is: 825,681,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,413 : 577,794,670 = 577,794,670 : x
  2. Step 2: Convert to fraction form
    404,328,413/577,794,670 = 577,794,670/x
  3. Step 3: Cross multiply
    404,328,413x = 577,794,670 × 577,794,670
  4. Step 4: Simplify right side
    404,328,413x = 333,846,680,680,408,896
  5. Step 5: Solve for x
    x = 333,846,680,680,408,896/404,328,413
  6. Step 6: Final answer
    x = 825,681,970.27

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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.