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Finding the Third Proportional to 248,580 and 541,459.50

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Solution

The third proportional to 248,580 and 541,459.50 is: 1,179,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,580 : 541,459.50 = 541,459.50 : x
  2. Step 2: Convert to fraction form
    248,580/541,459.50 = 541,459.50/x
  3. Step 3: Cross multiply
    248,580x = 541,459.50 × 541,459.50
  4. Step 4: Simplify right side
    248,580x = 293,178,390,140.25
  5. Step 5: Solve for x
    x = 293,178,390,140.25/248,580
  6. Step 6: Final answer
    x = 1,179,412.62

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