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Finding the Third Proportional to 258,944,631 and 554,824,410

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Solution

The third proportional to 258,944,631 and 554,824,410 is: 1,188,787,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,944,631 : 554,824,410 = 554,824,410 : x
  2. Step 2: Convert to fraction form
    258,944,631/554,824,410 = 554,824,410/x
  3. Step 3: Cross multiply
    258,944,631x = 554,824,410 × 554,824,410
  4. Step 4: Simplify right side
    258,944,631x = 307,830,125,931,848,128
  5. Step 5: Solve for x
    x = 307,830,125,931,848,128/258,944,631
  6. Step 6: Final answer
    x = 1,188,787,443.64

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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.