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Finding the Third Proportional to 283,345.50 and 392,712

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Solution

The third proportional to 283,345.50 and 392,712 is: 544,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,345.50 : 392,712 = 392,712 : x
  2. Step 2: Convert to fraction form
    283,345.50/392,712 = 392,712/x
  3. Step 3: Cross multiply
    283,345.50x = 392,712 × 392,712
  4. Step 4: Simplify right side
    283,345.50x = 154,222,714,944
  5. Step 5: Solve for x
    x = 154,222,714,944/283,345.50
  6. Step 6: Final answer
    x = 544,292.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.