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Finding the Third Proportional to 282,360 and 619,992

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Solution

The third proportional to 282,360 and 619,992 is: 1,361,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,360 : 619,992 = 619,992 : x
  2. Step 2: Convert to fraction form
    282,360/619,992 = 619,992/x
  3. Step 3: Cross multiply
    282,360x = 619,992 × 619,992
  4. Step 4: Simplify right side
    282,360x = 384,390,080,064
  5. Step 5: Solve for x
    x = 384,390,080,064/282,360
  6. Step 6: Final answer
    x = 1,361,347.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.