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Finding the Third Proportional to 258,944,629 and 554,824,408

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Solution

The third proportional to 258,944,629 and 554,824,408 is: 1,188,787,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944,629 : 554,824,408 = 554,824,408 : x
  2. Step 2: Convert to fraction form
    258,944,629/554,824,408 = 554,824,408/x
  3. Step 3: Cross multiply
    258,944,629x = 554,824,408 × 554,824,408
  4. Step 4: Simplify right side
    258,944,629x = 307,830,123,712,550,464
  5. Step 5: Solve for x
    x = 307,830,123,712,550,464/258,944,629
  6. Step 6: Final answer
    x = 1,188,787,444.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.