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Finding the Third Proportional to 404,328,409 and 577,794,664

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Solution

The third proportional to 404,328,409 and 577,794,664 is: 825,681,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,409 : 577,794,664 = 577,794,664 : x
  2. Step 2: Convert to fraction form
    404,328,409/577,794,664 = 577,794,664/x
  3. Step 3: Cross multiply
    404,328,409x = 577,794,664 × 577,794,664
  4. Step 4: Simplify right side
    404,328,409x = 333,846,673,746,872,896
  5. Step 5: Solve for x
    x = 333,846,673,746,872,896/404,328,409
  6. Step 6: Final answer
    x = 825,681,961.29

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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.