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Finding the Third Proportional to 239,519 and 375,735

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Solution

The third proportional to 239,519 and 375,735 is: 589,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,519 : 375,735 = 375,735 : x
  2. Step 2: Convert to fraction form
    239,519/375,735 = 375,735/x
  3. Step 3: Cross multiply
    239,519x = 375,735 × 375,735
  4. Step 4: Simplify right side
    239,519x = 141,176,790,225
  5. Step 5: Solve for x
    x = 141,176,790,225/239,519
  6. Step 6: Final answer
    x = 589,417.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.