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Finding the Third Proportional to 264,794.63 and 392,047.88

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Solution

The third proportional to 264,794.63 and 392,047.88 is: 580,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,794.63 : 392,047.88 = 392,047.88 : x
  2. Step 2: Convert to fraction form
    264,794.63/392,047.88 = 392,047.88/x
  3. Step 3: Cross multiply
    264,794.63x = 392,047.88 × 392,047.88
  4. Step 4: Simplify right side
    264,794.63x = 153,701,536,292.02
  5. Step 5: Solve for x
    x = 153,701,536,292.02/264,794.63
  6. Step 6: Final answer
    x = 580,455.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.