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Finding the Third Proportional to 234,970,000 and 508,991,728

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Solution

The third proportional to 234,970,000 and 508,991,728 is: 1,102,577,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,970,000 : 508,991,728 = 508,991,728 : x
  2. Step 2: Convert to fraction form
    234,970,000/508,991,728 = 508,991,728/x
  3. Step 3: Cross multiply
    234,970,000x = 508,991,728 × 508,991,728
  4. Step 4: Simplify right side
    234,970,000x = 259,072,579,172,425,984
  5. Step 5: Solve for x
    x = 259,072,579,172,425,984/234,970,000
  6. Step 6: Final answer
    x = 1,102,577,261.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.