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Finding the Third Proportional to 432,225 and 931,032

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Solution

The third proportional to 432,225 and 931,032 is: 2,005,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,225 : 931,032 = 931,032 : x
  2. Step 2: Convert to fraction form
    432,225/931,032 = 931,032/x
  3. Step 3: Cross multiply
    432,225x = 931,032 × 931,032
  4. Step 4: Simplify right side
    432,225x = 866,820,585,024
  5. Step 5: Solve for x
    x = 866,820,585,024/432,225
  6. Step 6: Final answer
    x = 2,005,484.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.