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Finding the Third Proportional to 280,827 and 612,967.50

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Solution

The third proportional to 280,827 and 612,967.50 is: 1,337,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,827 : 612,967.50 = 612,967.50 : x
  2. Step 2: Convert to fraction form
    280,827/612,967.50 = 612,967.50/x
  3. Step 3: Cross multiply
    280,827x = 612,967.50 × 612,967.50
  4. Step 4: Simplify right side
    280,827x = 375,729,156,056.25
  5. Step 5: Solve for x
    x = 375,729,156,056.25/280,827
  6. Step 6: Final answer
    x = 1,337,938.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.