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Finding the Third Proportional to 430,965 and 874,237.50

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Solution

The third proportional to 430,965 and 874,237.50 is: 1,773,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,965 : 874,237.50 = 874,237.50 : x
  2. Step 2: Convert to fraction form
    430,965/874,237.50 = 874,237.50/x
  3. Step 3: Cross multiply
    430,965x = 874,237.50 × 874,237.50
  4. Step 4: Simplify right side
    430,965x = 764,291,206,406.25
  5. Step 5: Solve for x
    x = 764,291,206,406.25/430,965
  6. Step 6: Final answer
    x = 1,773,441.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.