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Finding the Third Proportional to 260,017,724 and 576,098,785

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Solution

The third proportional to 260,017,724 and 576,098,785 is: 1,276,412,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,017,724 : 576,098,785 = 576,098,785 : x
  2. Step 2: Convert to fraction form
    260,017,724/576,098,785 = 576,098,785/x
  3. Step 3: Cross multiply
    260,017,724x = 576,098,785 × 576,098,785
  4. Step 4: Simplify right side
    260,017,724x = 331,889,810,078,476,224
  5. Step 5: Solve for x
    x = 331,889,810,078,476,224/260,017,724
  6. Step 6: Final answer
    x = 1,276,412,257.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.