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Finding the Third Proportional to 282,396.75 and 430,213.50

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Solution

The third proportional to 282,396.75 and 430,213.50 is: 655,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,396.75 : 430,213.50 = 430,213.50 : x
  2. Step 2: Convert to fraction form
    282,396.75/430,213.50 = 430,213.50/x
  3. Step 3: Cross multiply
    282,396.75x = 430,213.50 × 430,213.50
  4. Step 4: Simplify right side
    282,396.75x = 185,083,655,582.25
  5. Step 5: Solve for x
    x = 185,083,655,582.25/282,396.75
  6. Step 6: Final answer
    x = 655,402.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.