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Finding the Third Proportional to 275,590 and 390,066

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Solution

The third proportional to 275,590 and 390,066 is: 552,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,590 : 390,066 = 390,066 : x
  2. Step 2: Convert to fraction form
    275,590/390,066 = 390,066/x
  3. Step 3: Cross multiply
    275,590x = 390,066 × 390,066
  4. Step 4: Simplify right side
    275,590x = 152,151,484,356
  5. Step 5: Solve for x
    x = 152,151,484,356/275,590
  6. Step 6: Final answer
    x = 552,093.63

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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.