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Finding the Third Proportional to 275,503.50 and 417,412.50

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Solution

The third proportional to 275,503.50 and 417,412.50 is: 632,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,503.50 : 417,412.50 = 417,412.50 : x
  2. Step 2: Convert to fraction form
    275,503.50/417,412.50 = 417,412.50/x
  3. Step 3: Cross multiply
    275,503.50x = 417,412.50 × 417,412.50
  4. Step 4: Simplify right side
    275,503.50x = 174,233,195,156.25
  5. Step 5: Solve for x
    x = 174,233,195,156.25/275,503.50
  6. Step 6: Final answer
    x = 632,417.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.