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Finding the Third Proportional to 275,554 and 390,015

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Solution

The third proportional to 275,554 and 390,015 is: 552,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,554 : 390,015 = 390,015 : x
  2. Step 2: Convert to fraction form
    275,554/390,015 = 390,015/x
  3. Step 3: Cross multiply
    275,554x = 390,015 × 390,015
  4. Step 4: Simplify right side
    275,554x = 152,111,700,225
  5. Step 5: Solve for x
    x = 152,111,700,225/275,554
  6. Step 6: Final answer
    x = 552,021.38

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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.