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Finding the Third Proportional to 281,952.75 and 665,358

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Solution

The third proportional to 281,952.75 and 665,358 is: 1,570,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952.75 : 665,358 = 665,358 : x
  2. Step 2: Convert to fraction form
    281,952.75/665,358 = 665,358/x
  3. Step 3: Cross multiply
    281,952.75x = 665,358 × 665,358
  4. Step 4: Simplify right side
    281,952.75x = 442,701,268,164
  5. Step 5: Solve for x
    x = 442,701,268,164/281,952.75
  6. Step 6: Final answer
    x = 1,570,125.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.