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Finding the Third Proportional to 241,724.25 and 526,459.50

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Solution

The third proportional to 241,724.25 and 526,459.50 is: 1,146,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,724.25 : 526,459.50 = 526,459.50 : x
  2. Step 2: Convert to fraction form
    241,724.25/526,459.50 = 526,459.50/x
  3. Step 3: Cross multiply
    241,724.25x = 526,459.50 × 526,459.50
  4. Step 4: Simplify right side
    241,724.25x = 277,159,605,140.25
  5. Step 5: Solve for x
    x = 277,159,605,140.25/241,724.25
  6. Step 6: Final answer
    x = 1,146,594.13

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Why These Related Problems?

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