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Finding the Third Proportional to 264,689,485 and 400,438,488

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Solution

The third proportional to 264,689,485 and 400,438,488 is: 605,807,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689,485 : 400,438,488 = 400,438,488 : x
  2. Step 2: Convert to fraction form
    264,689,485/400,438,488 = 400,438,488/x
  3. Step 3: Cross multiply
    264,689,485x = 400,438,488 × 400,438,488
  4. Step 4: Simplify right side
    264,689,485x = 160,350,982,671,726,144
  5. Step 5: Solve for x
    x = 160,350,982,671,726,144/264,689,485
  6. Step 6: Final answer
    x = 605,807,906.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.