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Finding the Third Proportional to 417,208.50 and 897,289.50

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Solution

The third proportional to 417,208.50 and 897,289.50 is: 1,929,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,208.50 : 897,289.50 = 897,289.50 : x
  2. Step 2: Convert to fraction form
    417,208.50/897,289.50 = 897,289.50/x
  3. Step 3: Cross multiply
    417,208.50x = 897,289.50 × 897,289.50
  4. Step 4: Simplify right side
    417,208.50x = 805,128,446,810.25
  5. Step 5: Solve for x
    x = 805,128,446,810.25/417,208.50
  6. Step 6: Final answer
    x = 1,929,798.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.