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Finding the Third Proportional to 280,892.63 and 614,335.88

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Solution

The third proportional to 280,892.63 and 614,335.88 is: 1,343,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,892.63 : 614,335.88 = 614,335.88 : x
  2. Step 2: Convert to fraction form
    280,892.63/614,335.88 = 614,335.88/x
  3. Step 3: Cross multiply
    280,892.63x = 614,335.88 × 614,335.88
  4. Step 4: Simplify right side
    280,892.63x = 377,408,567,312.02
  5. Step 5: Solve for x
    x = 377,408,567,312.02/280,892.63
  6. Step 6: Final answer
    x = 1,343,604.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.