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Finding the Third Proportional to 584,271.25 and 874,071.75

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Solution

The third proportional to 584,271.25 and 874,071.75 is: 1,307,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,271.25 : 874,071.75 = 874,071.75 : x
  2. Step 2: Convert to fraction form
    584,271.25/874,071.75 = 874,071.75/x
  3. Step 3: Cross multiply
    584,271.25x = 874,071.75 × 874,071.75
  4. Step 4: Simplify right side
    584,271.25x = 764,001,424,148.06
  5. Step 5: Solve for x
    x = 764,001,424,148.06/584,271.25
  6. Step 6: Final answer
    x = 1,307,614.27

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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.