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Finding the Third Proportional to 275,819,457 and 411,337,332

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Solution

The third proportional to 275,819,457 and 411,337,332 is: 613,438,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819,457 : 411,337,332 = 411,337,332 : x
  2. Step 2: Convert to fraction form
    275,819,457/411,337,332 = 411,337,332/x
  3. Step 3: Cross multiply
    275,819,457x = 411,337,332 × 411,337,332
  4. Step 4: Simplify right side
    275,819,457x = 169,198,400,696,878,208
  5. Step 5: Solve for x
    x = 169,198,400,696,878,208/275,819,457
  6. Step 6: Final answer
    x = 613,438,959.45

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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.