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Finding the Third Proportional to 364,470 and 788,844

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Solution

The third proportional to 364,470 and 788,844 is: 1,707,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,470 : 788,844 = 788,844 : x
  2. Step 2: Convert to fraction form
    364,470/788,844 = 788,844/x
  3. Step 3: Cross multiply
    364,470x = 788,844 × 788,844
  4. Step 4: Simplify right side
    364,470x = 622,274,856,336
  5. Step 5: Solve for x
    x = 622,274,856,336/364,470
  6. Step 6: Final answer
    x = 1,707,341.77

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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.