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Finding the Third Proportional to 286,008 and 609,996

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Solution

The third proportional to 286,008 and 609,996 is: 1,300,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008 : 609,996 = 609,996 : x
  2. Step 2: Convert to fraction form
    286,008/609,996 = 609,996/x
  3. Step 3: Cross multiply
    286,008x = 609,996 × 609,996
  4. Step 4: Simplify right side
    286,008x = 372,095,120,016
  5. Step 5: Solve for x
    x = 372,095,120,016/286,008
  6. Step 6: Final answer
    x = 1,300,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.