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Finding the Third Proportional to 369,456.75 and 794,165.63

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Solution

The third proportional to 369,456.75 and 794,165.63 is: 1,707,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,456.75 : 794,165.63 = 794,165.63 : x
  2. Step 2: Convert to fraction form
    369,456.75/794,165.63 = 794,165.63/x
  3. Step 3: Cross multiply
    369,456.75x = 794,165.63 × 794,165.63
  4. Step 4: Simplify right side
    369,456.75x = 630,699,039,931.64
  5. Step 5: Solve for x
    x = 630,699,039,931.64/369,456.75
  6. Step 6: Final answer
    x = 1,707,098.44

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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.