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Finding the Third Proportional to 261,524,378 and 550,152,976

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Solution

The third proportional to 261,524,378 and 550,152,976 is: 1,157,323,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,524,378 : 550,152,976 = 550,152,976 : x
  2. Step 2: Convert to fraction form
    261,524,378/550,152,976 = 550,152,976/x
  3. Step 3: Cross multiply
    261,524,378x = 550,152,976 × 550,152,976
  4. Step 4: Simplify right side
    261,524,378x = 302,668,297,001,656,576
  5. Step 5: Solve for x
    x = 302,668,297,001,656,576/261,524,378
  6. Step 6: Final answer
    x = 1,157,323,456.10

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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.