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Finding the Third Proportional to 364,416 and 788,736

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Solution

The third proportional to 364,416 and 788,736 is: 1,707,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,416 : 788,736 = 788,736 : x
  2. Step 2: Convert to fraction form
    364,416/788,736 = 788,736/x
  3. Step 3: Cross multiply
    364,416x = 788,736 × 788,736
  4. Step 4: Simplify right side
    364,416x = 622,104,477,696
  5. Step 5: Solve for x
    x = 622,104,477,696/364,416
  6. Step 6: Final answer
    x = 1,707,127.23

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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.