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Finding the Third Proportional to 221,047.50 and 477,411

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Solution

The third proportional to 221,047.50 and 477,411 is: 1,031,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,047.50 : 477,411 = 477,411 : x
  2. Step 2: Convert to fraction form
    221,047.50/477,411 = 477,411/x
  3. Step 3: Cross multiply
    221,047.50x = 477,411 × 477,411
  4. Step 4: Simplify right side
    221,047.50x = 227,921,262,921
  5. Step 5: Solve for x
    x = 227,921,262,921/221,047.50
  6. Step 6: Final answer
    x = 1,031,096.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.