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Finding the Third Proportional to 348,644.81 and 538,344.56

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Solution

The third proportional to 348,644.81 and 538,344.56 is: 831,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,644.81 : 538,344.56 = 538,344.56 : x
  2. Step 2: Convert to fraction form
    348,644.81/538,344.56 = 538,344.56/x
  3. Step 3: Cross multiply
    348,644.81x = 538,344.56 × 538,344.56
  4. Step 4: Simplify right side
    348,644.81x = 289,814,867,973.32
  5. Step 5: Solve for x
    x = 289,814,867,973.32/348,644.81
  6. Step 6: Final answer
    x = 831,261.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.