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Finding the Third Proportional to 282,712.50 and 437,188.50

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Solution

The third proportional to 282,712.50 and 437,188.50 is: 676,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,712.50 : 437,188.50 = 437,188.50 : x
  2. Step 2: Convert to fraction form
    282,712.50/437,188.50 = 437,188.50/x
  3. Step 3: Cross multiply
    282,712.50x = 437,188.50 × 437,188.50
  4. Step 4: Simplify right side
    282,712.50x = 191,133,784,532.25
  5. Step 5: Solve for x
    x = 191,133,784,532.25/282,712.50
  6. Step 6: Final answer
    x = 676,071.22

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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.