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Finding the Third Proportional to 544,645 and 839,935.50

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Solution

The third proportional to 544,645 and 839,935.50 is: 1,295,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,645 : 839,935.50 = 839,935.50 : x
  2. Step 2: Convert to fraction form
    544,645/839,935.50 = 839,935.50/x
  3. Step 3: Cross multiply
    544,645x = 839,935.50 × 839,935.50
  4. Step 4: Simplify right side
    544,645x = 705,491,644,160.25
  5. Step 5: Solve for x
    x = 705,491,644,160.25/544,645
  6. Step 6: Final answer
    x = 1,295,323.82

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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.