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Finding the Third Proportional to 356,319,326 and 745,217,824

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Solution

The third proportional to 356,319,326 and 745,217,824 is: 1,558,572,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,319,326 : 745,217,824 = 745,217,824 : x
  2. Step 2: Convert to fraction form
    356,319,326/745,217,824 = 745,217,824/x
  3. Step 3: Cross multiply
    356,319,326x = 745,217,824 × 745,217,824
  4. Step 4: Simplify right side
    356,319,326x = 555,349,605,207,294,976
  5. Step 5: Solve for x
    x = 555,349,605,207,294,976/356,319,326
  6. Step 6: Final answer
    x = 1,558,572,787.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.