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Finding the Third Proportional to 366,915 and 788,083

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Solution

The third proportional to 366,915 and 788,083 is: 1,692,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,915 : 788,083 = 788,083 : x
  2. Step 2: Convert to fraction form
    366,915/788,083 = 788,083/x
  3. Step 3: Cross multiply
    366,915x = 788,083 × 788,083
  4. Step 4: Simplify right side
    366,915x = 621,074,814,889
  5. Step 5: Solve for x
    x = 621,074,814,889/366,915
  6. Step 6: Final answer
    x = 1,692,693.99

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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.