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Finding the Third Proportional to 661,389.75 and 966,564

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Solution

The third proportional to 661,389.75 and 966,564 is: 1,412,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,389.75 : 966,564 = 966,564 : x
  2. Step 2: Convert to fraction form
    661,389.75/966,564 = 966,564/x
  3. Step 3: Cross multiply
    661,389.75x = 966,564 × 966,564
  4. Step 4: Simplify right side
    661,389.75x = 934,245,966,096
  5. Step 5: Solve for x
    x = 934,245,966,096/661,389.75
  6. Step 6: Final answer
    x = 1,412,549.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.