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Finding the Third Proportional to 287,412.05 and 593,273.11

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Solution

The third proportional to 287,412.05 and 593,273.11 is: 1,224,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,412.05 : 593,273.11 = 593,273.11 : x
  2. Step 2: Convert to fraction form
    287,412.05/593,273.11 = 593,273.11/x
  3. Step 3: Cross multiply
    287,412.05x = 593,273.11 × 593,273.11
  4. Step 4: Simplify right side
    287,412.05x = 351,972,982,307.48
  5. Step 5: Solve for x
    x = 351,972,982,307.48/287,412.05
  6. Step 6: Final answer
    x = 1,224,628.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.