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Finding the Third Proportional to 272,670.75 and 570,397.50

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Solution

The third proportional to 272,670.75 and 570,397.50 is: 1,193,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,670.75 : 570,397.50 = 570,397.50 : x
  2. Step 2: Convert to fraction form
    272,670.75/570,397.50 = 570,397.50/x
  3. Step 3: Cross multiply
    272,670.75x = 570,397.50 × 570,397.50
  4. Step 4: Simplify right side
    272,670.75x = 325,353,308,006.25
  5. Step 5: Solve for x
    x = 325,353,308,006.25/272,670.75
  6. Step 6: Final answer
    x = 1,193,209.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.