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Finding the Third Proportional to 643,997.25 and 946,304.44

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Solution

The third proportional to 643,997.25 and 946,304.44 is: 1,390,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,997.25 : 946,304.44 = 946,304.44 : x
  2. Step 2: Convert to fraction form
    643,997.25/946,304.44 = 946,304.44/x
  3. Step 3: Cross multiply
    643,997.25x = 946,304.44 × 946,304.44
  4. Step 4: Simplify right side
    643,997.25x = 895,492,088,432.19
  5. Step 5: Solve for x
    x = 895,492,088,432.19/643,997.25
  6. Step 6: Final answer
    x = 1,390,521.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.