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Finding the Third Proportional to 407,911.50 and 894,222

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Solution

The third proportional to 407,911.50 and 894,222 is: 1,960,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,911.50 : 894,222 = 894,222 : x
  2. Step 2: Convert to fraction form
    407,911.50/894,222 = 894,222/x
  3. Step 3: Cross multiply
    407,911.50x = 894,222 × 894,222
  4. Step 4: Simplify right side
    407,911.50x = 799,632,985,284
  5. Step 5: Solve for x
    x = 799,632,985,284/407,911.50
  6. Step 6: Final answer
    x = 1,960,309.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.