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Finding the Third Proportional to 365,863.50 and 574,688.25

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Solution

The third proportional to 365,863.50 and 574,688.25 is: 902,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,863.50 : 574,688.25 = 574,688.25 : x
  2. Step 2: Convert to fraction form
    365,863.50/574,688.25 = 574,688.25/x
  3. Step 3: Cross multiply
    365,863.50x = 574,688.25 × 574,688.25
  4. Step 4: Simplify right side
    365,863.50x = 330,266,584,688.06
  5. Step 5: Solve for x
    x = 330,266,584,688.06/365,863.50
  6. Step 6: Final answer
    x = 902,704.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.