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Finding the Third Proportional to 255,897,744 and 557,230,368

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Solution

The third proportional to 255,897,744 and 557,230,368 is: 1,213,397,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,897,744 : 557,230,368 = 557,230,368 : x
  2. Step 2: Convert to fraction form
    255,897,744/557,230,368 = 557,230,368/x
  3. Step 3: Cross multiply
    255,897,744x = 557,230,368 × 557,230,368
  4. Step 4: Simplify right side
    255,897,744x = 310,505,683,021,415,424
  5. Step 5: Solve for x
    x = 310,505,683,021,415,424/255,897,744
  6. Step 6: Final answer
    x = 1,213,397,500.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.