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Finding the Third Proportional to 275,569 and 390,039

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Solution

The third proportional to 275,569 and 390,039 is: 552,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,569 : 390,039 = 390,039 : x
  2. Step 2: Convert to fraction form
    275,569/390,039 = 390,039/x
  3. Step 3: Cross multiply
    275,569x = 390,039 × 390,039
  4. Step 4: Simplify right side
    275,569x = 152,130,421,521
  5. Step 5: Solve for x
    x = 152,130,421,521/275,569
  6. Step 6: Final answer
    x = 552,059.27

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