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Finding the Third Proportional to 239,712 and 526,080

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Solution

The third proportional to 239,712 and 526,080 is: 1,154,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,712 : 526,080 = 526,080 : x
  2. Step 2: Convert to fraction form
    239,712/526,080 = 526,080/x
  3. Step 3: Cross multiply
    239,712x = 526,080 × 526,080
  4. Step 4: Simplify right side
    239,712x = 276,760,166,400
  5. Step 5: Solve for x
    x = 276,760,166,400/239,712
  6. Step 6: Final answer
    x = 1,154,552.82

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Why These Related Problems?

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