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Finding the Third Proportional to 248,032 and 542,432

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Solution

The third proportional to 248,032 and 542,432 is: 1,186,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,032 : 542,432 = 542,432 : x
  2. Step 2: Convert to fraction form
    248,032/542,432 = 542,432/x
  3. Step 3: Cross multiply
    248,032x = 542,432 × 542,432
  4. Step 4: Simplify right side
    248,032x = 294,232,474,624
  5. Step 5: Solve for x
    x = 294,232,474,624/248,032
  6. Step 6: Final answer
    x = 1,186,268.20

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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.