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Finding the Third Proportional to 275,819,441 and 411,337,312

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Solution

The third proportional to 275,819,441 and 411,337,312 is: 613,438,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819,441 : 411,337,312 = 411,337,312 : x
  2. Step 2: Convert to fraction form
    275,819,441/411,337,312 = 411,337,312/x
  3. Step 3: Cross multiply
    275,819,441x = 411,337,312 × 411,337,312
  4. Step 4: Simplify right side
    275,819,441x = 169,198,384,243,385,344
  5. Step 5: Solve for x
    x = 169,198,384,243,385,344/275,819,441
  6. Step 6: Final answer
    x = 613,438,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.