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Finding the Third Proportional to 385,260.75 and 832,219.13

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Solution

The third proportional to 385,260.75 and 832,219.13 is: 1,797,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,260.75 : 832,219.13 = 832,219.13 : x
  2. Step 2: Convert to fraction form
    385,260.75/832,219.13 = 832,219.13/x
  3. Step 3: Cross multiply
    385,260.75x = 832,219.13 × 832,219.13
  4. Step 4: Simplify right side
    385,260.75x = 692,588,672,015.77
  5. Step 5: Solve for x
    x = 692,588,672,015.77/385,260.75
  6. Step 6: Final answer
    x = 1,797,714.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.