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Finding the Third Proportional to 201,902.63 and 440,482.50

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Solution

The third proportional to 201,902.63 and 440,482.50 is: 960,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.63 : 440,482.50 = 440,482.50 : x
  2. Step 2: Convert to fraction form
    201,902.63/440,482.50 = 440,482.50/x
  3. Step 3: Cross multiply
    201,902.63x = 440,482.50 × 440,482.50
  4. Step 4: Simplify right side
    201,902.63x = 194,024,832,806.25
  5. Step 5: Solve for x
    x = 194,024,832,806.25/201,902.63
  6. Step 6: Final answer
    x = 960,982.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.