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Finding the Third Proportional to 366,352 and 772,063

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Solution

The third proportional to 366,352 and 772,063 is: 1,627,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,352 : 772,063 = 772,063 : x
  2. Step 2: Convert to fraction form
    366,352/772,063 = 772,063/x
  3. Step 3: Cross multiply
    366,352x = 772,063 × 772,063
  4. Step 4: Simplify right side
    366,352x = 596,081,275,969
  5. Step 5: Solve for x
    x = 596,081,275,969/366,352
  6. Step 6: Final answer
    x = 1,627,072.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.