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Finding the Third Proportional to 244,030 and 570,114

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Solution

The third proportional to 244,030 and 570,114 is: 1,331,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,030 : 570,114 = 570,114 : x
  2. Step 2: Convert to fraction form
    244,030/570,114 = 570,114/x
  3. Step 3: Cross multiply
    244,030x = 570,114 × 570,114
  4. Step 4: Simplify right side
    244,030x = 325,029,972,996
  5. Step 5: Solve for x
    x = 325,029,972,996/244,030
  6. Step 6: Final answer
    x = 1,331,926.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.