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Finding the Third Proportional to 360,796 and 778,796

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Solution

The third proportional to 360,796 and 778,796 is: 1,681,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,796 : 778,796 = 778,796 : x
  2. Step 2: Convert to fraction form
    360,796/778,796 = 778,796/x
  3. Step 3: Cross multiply
    360,796x = 778,796 × 778,796
  4. Step 4: Simplify right side
    360,796x = 606,523,209,616
  5. Step 5: Solve for x
    x = 606,523,209,616/360,796
  6. Step 6: Final answer
    x = 1,681,069.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.