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Finding the Third Proportional to 373,080 and 814,456.50

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Solution

The third proportional to 373,080 and 814,456.50 is: 1,778,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,080 : 814,456.50 = 814,456.50 : x
  2. Step 2: Convert to fraction form
    373,080/814,456.50 = 814,456.50/x
  3. Step 3: Cross multiply
    373,080x = 814,456.50 × 814,456.50
  4. Step 4: Simplify right side
    373,080x = 663,339,390,392.25
  5. Step 5: Solve for x
    x = 663,339,390,392.25/373,080
  6. Step 6: Final answer
    x = 1,778,008.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.