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Finding the Third Proportional to 286,185 and 453,060.75

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Solution

The third proportional to 286,185 and 453,060.75 is: 717,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,185 : 453,060.75 = 453,060.75 : x
  2. Step 2: Convert to fraction form
    286,185/453,060.75 = 453,060.75/x
  3. Step 3: Cross multiply
    286,185x = 453,060.75 × 453,060.75
  4. Step 4: Simplify right side
    286,185x = 205,264,043,190.56
  5. Step 5: Solve for x
    x = 205,264,043,190.56/286,185
  6. Step 6: Final answer
    x = 717,242.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.