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Finding the Third Proportional to 584,664.75 and 874,613.11

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Solution

The third proportional to 584,664.75 and 874,613.11 is: 1,308,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,664.75 : 874,613.11 = 874,613.11 : x
  2. Step 2: Convert to fraction form
    584,664.75/874,613.11 = 874,613.11/x
  3. Step 3: Cross multiply
    584,664.75x = 874,613.11 × 874,613.11
  4. Step 4: Simplify right side
    584,664.75x = 764,948,091,090.61
  5. Step 5: Solve for x
    x = 764,948,091,090.61/584,664.75
  6. Step 6: Final answer
    x = 1,308,353.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.