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Finding the Third Proportional to 221,050.50 and 477,417

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Solution

The third proportional to 221,050.50 and 477,417 is: 1,031,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,050.50 : 477,417 = 477,417 : x
  2. Step 2: Convert to fraction form
    221,050.50/477,417 = 477,417/x
  3. Step 3: Cross multiply
    221,050.50x = 477,417 × 477,417
  4. Step 4: Simplify right side
    221,050.50x = 227,926,991,889
  5. Step 5: Solve for x
    x = 227,926,991,889/221,050.50
  6. Step 6: Final answer
    x = 1,031,108.24

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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.