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Finding the Third Proportional to 643,252 and 960,018

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Solution

The third proportional to 643,252 and 960,018 is: 1,432,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,252 : 960,018 = 960,018 : x
  2. Step 2: Convert to fraction form
    643,252/960,018 = 960,018/x
  3. Step 3: Cross multiply
    643,252x = 960,018 × 960,018
  4. Step 4: Simplify right side
    643,252x = 921,634,560,324
  5. Step 5: Solve for x
    x = 921,634,560,324/643,252
  6. Step 6: Final answer
    x = 1,432,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.