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Finding the Third Proportional to 404,328,312 and 577,794,511

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Solution

The third proportional to 404,328,312 and 577,794,511 is: 825,681,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,312 : 577,794,511 = 577,794,511 : x
  2. Step 2: Convert to fraction form
    404,328,312/577,794,511 = 577,794,511/x
  3. Step 3: Cross multiply
    404,328,312x = 577,794,511 × 577,794,511
  4. Step 4: Simplify right side
    404,328,312x = 333,846,496,941,729,152
  5. Step 5: Solve for x
    x = 333,846,496,941,729,152/404,328,312
  6. Step 6: Final answer
    x = 825,681,722.09

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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.