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Finding the Third Proportional to 275,511 and 425,548.50

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Solution

The third proportional to 275,511 and 425,548.50 is: 657,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,511 : 425,548.50 = 425,548.50 : x
  2. Step 2: Convert to fraction form
    275,511/425,548.50 = 425,548.50/x
  3. Step 3: Cross multiply
    275,511x = 425,548.50 × 425,548.50
  4. Step 4: Simplify right side
    275,511x = 181,091,525,852.25
  5. Step 5: Solve for x
    x = 181,091,525,852.25/275,511
  6. Step 6: Final answer
    x = 657,293.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.