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Finding the Third Proportional to 264,689,488 and 400,438,493

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Solution

The third proportional to 264,689,488 and 400,438,493 is: 605,807,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689,488 : 400,438,493 = 400,438,493 : x
  2. Step 2: Convert to fraction form
    264,689,488/400,438,493 = 400,438,493/x
  3. Step 3: Cross multiply
    264,689,488x = 400,438,493 × 400,438,493
  4. Step 4: Simplify right side
    264,689,488x = 160,350,986,676,111,040
  5. Step 5: Solve for x
    x = 160,350,986,676,111,040/264,689,488
  6. Step 6: Final answer
    x = 605,807,914.35

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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.