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Finding the Third Proportional to 219,298 and 328,082

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Solution

The third proportional to 219,298 and 328,082 is: 490,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,298 : 328,082 = 328,082 : x
  2. Step 2: Convert to fraction form
    219,298/328,082 = 328,082/x
  3. Step 3: Cross multiply
    219,298x = 328,082 × 328,082
  4. Step 4: Simplify right side
    219,298x = 107,637,798,724
  5. Step 5: Solve for x
    x = 107,637,798,724/219,298
  6. Step 6: Final answer
    x = 490,828.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.