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Finding the Third Proportional to 241,456,340 and 523,745,020

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Solution

The third proportional to 241,456,340 and 523,745,020 is: 1,136,059,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,340 : 523,745,020 = 523,745,020 : x
  2. Step 2: Convert to fraction form
    241,456,340/523,745,020 = 523,745,020/x
  3. Step 3: Cross multiply
    241,456,340x = 523,745,020 × 523,745,020
  4. Step 4: Simplify right side
    241,456,340x = 274,308,845,974,800,384
  5. Step 5: Solve for x
    x = 274,308,845,974,800,384/241,456,340
  6. Step 6: Final answer
    x = 1,136,059,819.24

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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.