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Finding the Third Proportional to 515,944 and 781,705

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Solution

The third proportional to 515,944 and 781,705 is: 1,184,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,944 : 781,705 = 781,705 : x
  2. Step 2: Convert to fraction form
    515,944/781,705 = 781,705/x
  3. Step 3: Cross multiply
    515,944x = 781,705 × 781,705
  4. Step 4: Simplify right side
    515,944x = 611,062,707,025
  5. Step 5: Solve for x
    x = 611,062,707,025/515,944
  6. Step 6: Final answer
    x = 1,184,358.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.