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Finding the Third Proportional to 254,002.50 and 542,997

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Solution

The third proportional to 254,002.50 and 542,997 is: 1,160,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,002.50 : 542,997 = 542,997 : x
  2. Step 2: Convert to fraction form
    254,002.50/542,997 = 542,997/x
  3. Step 3: Cross multiply
    254,002.50x = 542,997 × 542,997
  4. Step 4: Simplify right side
    254,002.50x = 294,845,742,009
  5. Step 5: Solve for x
    x = 294,845,742,009/254,002.50
  6. Step 6: Final answer
    x = 1,160,798.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.