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Finding the Third Proportional to 235,604 and 491,080

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Solution

The third proportional to 235,604 and 491,080 is: 1,023,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,604 : 491,080 = 491,080 : x
  2. Step 2: Convert to fraction form
    235,604/491,080 = 491,080/x
  3. Step 3: Cross multiply
    235,604x = 491,080 × 491,080
  4. Step 4: Simplify right side
    235,604x = 241,159,566,400
  5. Step 5: Solve for x
    x = 241,159,566,400/235,604
  6. Step 6: Final answer
    x = 1,023,580.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.