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Finding the Third Proportional to 256,625,802 and 526,856,094

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Solution

The third proportional to 256,625,802 and 526,856,094 is: 1,081,642,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,802 : 526,856,094 = 526,856,094 : x
  2. Step 2: Convert to fraction form
    256,625,802/526,856,094 = 526,856,094/x
  3. Step 3: Cross multiply
    256,625,802x = 526,856,094 × 526,856,094
  4. Step 4: Simplify right side
    256,625,802x = 277,577,343,784,936,832
  5. Step 5: Solve for x
    x = 277,577,343,784,936,832/256,625,802
  6. Step 6: Final answer
    x = 1,081,642,382.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.