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Finding the Third Proportional to 366,580.69 and 788,326.17

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Solution

The third proportional to 366,580.69 and 788,326.17 is: 1,695,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,580.69 : 788,326.17 = 788,326.17 : x
  2. Step 2: Convert to fraction form
    366,580.69/788,326.17 = 788,326.17/x
  3. Step 3: Cross multiply
    366,580.69x = 788,326.17 × 788,326.17
  4. Step 4: Simplify right side
    366,580.69x = 621,458,153,263.09
  5. Step 5: Solve for x
    x = 621,458,153,263.09/366,580.69
  6. Step 6: Final answer
    x = 1,695,283.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.