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Finding the Third Proportional to 245,649.94 and 534,548.81

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Solution

The third proportional to 245,649.94 and 534,548.81 is: 1,163,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,649.94 : 534,548.81 = 534,548.81 : x
  2. Step 2: Convert to fraction form
    245,649.94/534,548.81 = 534,548.81/x
  3. Step 3: Cross multiply
    245,649.94x = 534,548.81 × 534,548.81
  4. Step 4: Simplify right side
    245,649.94x = 285,742,432,945.16
  5. Step 5: Solve for x
    x = 285,742,432,945.16/245,649.94
  6. Step 6: Final answer
    x = 1,163,209.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.