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Finding the Third Proportional to 200,564.50 and 440,490

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Solution

The third proportional to 200,564.50 and 440,490 is: 967,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.50 : 440,490 = 440,490 : x
  2. Step 2: Convert to fraction form
    200,564.50/440,490 = 440,490/x
  3. Step 3: Cross multiply
    200,564.50x = 440,490 × 440,490
  4. Step 4: Simplify right side
    200,564.50x = 194,031,440,100
  5. Step 5: Solve for x
    x = 194,031,440,100/200,564.50
  6. Step 6: Final answer
    x = 967,426.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.