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Finding the Third Proportional to 598,405 and 874,462.50

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Solution

The third proportional to 598,405 and 874,462.50 is: 1,277,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,405 : 874,462.50 = 874,462.50 : x
  2. Step 2: Convert to fraction form
    598,405/874,462.50 = 874,462.50/x
  3. Step 3: Cross multiply
    598,405x = 874,462.50 × 874,462.50
  4. Step 4: Simplify right side
    598,405x = 764,684,663,906.25
  5. Step 5: Solve for x
    x = 764,684,663,906.25/598,405
  6. Step 6: Final answer
    x = 1,277,871.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.