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Finding the Third Proportional to 366,336 and 772,032

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Solution

The third proportional to 366,336 and 772,032 is: 1,627,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,336 : 772,032 = 772,032 : x
  2. Step 2: Convert to fraction form
    366,336/772,032 = 772,032/x
  3. Step 3: Cross multiply
    366,336x = 772,032 × 772,032
  4. Step 4: Simplify right side
    366,336x = 596,033,409,024
  5. Step 5: Solve for x
    x = 596,033,409,024/366,336
  6. Step 6: Final answer
    x = 1,627,012.93

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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.