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Finding the Third Proportional to 282,706.88 and 437,189.06

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Solution

The third proportional to 282,706.88 and 437,189.06 is: 676,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,706.88 : 437,189.06 = 437,189.06 : x
  2. Step 2: Convert to fraction form
    282,706.88/437,189.06 = 437,189.06/x
  3. Step 3: Cross multiply
    282,706.88x = 437,189.06 × 437,189.06
  4. Step 4: Simplify right side
    282,706.88x = 191,134,276,369.63
  5. Step 5: Solve for x
    x = 191,134,276,369.63/282,706.88
  6. Step 6: Final answer
    x = 676,086.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.