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Finding the Third Proportional to 275,985 and 411,061.50

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Solution

The third proportional to 275,985 and 411,061.50 is: 612,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,985 : 411,061.50 = 411,061.50 : x
  2. Step 2: Convert to fraction form
    275,985/411,061.50 = 411,061.50/x
  3. Step 3: Cross multiply
    275,985x = 411,061.50 × 411,061.50
  4. Step 4: Simplify right side
    275,985x = 168,971,556,782.25
  5. Step 5: Solve for x
    x = 168,971,556,782.25/275,985
  6. Step 6: Final answer
    x = 612,249.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.