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Finding the Third Proportional to 256,625,717 and 526,855,943

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Solution

The third proportional to 256,625,717 and 526,855,943 is: 1,081,642,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,625,717 : 526,855,943 = 526,855,943 : x
  2. Step 2: Convert to fraction form
    256,625,717/526,855,943 = 526,855,943/x
  3. Step 3: Cross multiply
    256,625,717x = 526,855,943 × 526,855,943
  4. Step 4: Simplify right side
    256,625,717x = 277,577,184,674,419,264
  5. Step 5: Solve for x
    x = 277,577,184,674,419,264/256,625,717
  6. Step 6: Final answer
    x = 1,081,642,120.36

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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.