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Finding the Third Proportional to 256,500,450 and 538,195,140

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Solution

The third proportional to 256,500,450 and 538,195,140 is: 1,129,253,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500,450 : 538,195,140 = 538,195,140 : x
  2. Step 2: Convert to fraction form
    256,500,450/538,195,140 = 538,195,140/x
  3. Step 3: Cross multiply
    256,500,450x = 538,195,140 × 538,195,140
  4. Step 4: Simplify right side
    256,500,450x = 289,654,008,719,619,584
  5. Step 5: Solve for x
    x = 289,654,008,719,619,584/256,500,450
  6. Step 6: Final answer
    x = 1,129,253,413.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.