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Finding the Third Proportional to 241,456,344 and 523,745,028

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Solution

The third proportional to 241,456,344 and 523,745,028 is: 1,136,059,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,344 : 523,745,028 = 523,745,028 : x
  2. Step 2: Convert to fraction form
    241,456,344/523,745,028 = 523,745,028/x
  3. Step 3: Cross multiply
    241,456,344x = 523,745,028 × 523,745,028
  4. Step 4: Simplify right side
    241,456,344x = 274,308,854,354,720,768
  5. Step 5: Solve for x
    x = 274,308,854,354,720,768/241,456,344
  6. Step 6: Final answer
    x = 1,136,059,835.13

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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.