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Finding the Third Proportional to 654,476 and 960,158

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Solution

The third proportional to 654,476 and 960,158 is: 1,408,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,476 : 960,158 = 960,158 : x
  2. Step 2: Convert to fraction form
    654,476/960,158 = 960,158/x
  3. Step 3: Cross multiply
    654,476x = 960,158 × 960,158
  4. Step 4: Simplify right side
    654,476x = 921,903,384,964
  5. Step 5: Solve for x
    x = 921,903,384,964/654,476
  6. Step 6: Final answer
    x = 1,408,612.97

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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.