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Finding the Third Proportional to 275,599.50 and 390,081

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Solution

The third proportional to 275,599.50 and 390,081 is: 552,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,599.50 : 390,081 = 390,081 : x
  2. Step 2: Convert to fraction form
    275,599.50/390,081 = 390,081/x
  3. Step 3: Cross multiply
    275,599.50x = 390,081 × 390,081
  4. Step 4: Simplify right side
    275,599.50x = 152,163,186,561
  5. Step 5: Solve for x
    x = 152,163,186,561/275,599.50
  6. Step 6: Final answer
    x = 552,117.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.