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Finding the Third Proportional to 585,106.50 and 930,951

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Solution

The third proportional to 585,106.50 and 930,951 is: 1,481,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,106.50 : 930,951 = 930,951 : x
  2. Step 2: Convert to fraction form
    585,106.50/930,951 = 930,951/x
  3. Step 3: Cross multiply
    585,106.50x = 930,951 × 930,951
  4. Step 4: Simplify right side
    585,106.50x = 866,669,764,401
  5. Step 5: Solve for x
    x = 866,669,764,401/585,106.50
  6. Step 6: Final answer
    x = 1,481,217.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.