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Finding the Third Proportional to 248,882.63 and 542,973.38

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Solution

The third proportional to 248,882.63 and 542,973.38 is: 1,184,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,882.63 : 542,973.38 = 542,973.38 : x
  2. Step 2: Convert to fraction form
    248,882.63/542,973.38 = 542,973.38/x
  3. Step 3: Cross multiply
    248,882.63x = 542,973.38 × 542,973.38
  4. Step 4: Simplify right side
    248,882.63x = 294,820,085,958.89
  5. Step 5: Solve for x
    x = 294,820,085,958.89/248,882.63
  6. Step 6: Final answer
    x = 1,184,574.80

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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.