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Finding the Third Proportional to 584,672.06 and 874,624.50

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Solution

The third proportional to 584,672.06 and 874,624.50 is: 1,308,371.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,672.06 : 874,624.50 = 874,624.50 : x
  2. Step 2: Convert to fraction form
    584,672.06/874,624.50 = 874,624.50/x
  3. Step 3: Cross multiply
    584,672.06x = 874,624.50 × 874,624.50
  4. Step 4: Simplify right side
    584,672.06x = 764,968,016,000.25
  5. Step 5: Solve for x
    x = 764,968,016,000.25/584,672.06
  6. Step 6: Final answer
    x = 1,308,371.08

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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.