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Finding the Third Proportional to 231,410 and 349,581

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Solution

The third proportional to 231,410 and 349,581 is: 528,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,410 : 349,581 = 349,581 : x
  2. Step 2: Convert to fraction form
    231,410/349,581 = 349,581/x
  3. Step 3: Cross multiply
    231,410x = 349,581 × 349,581
  4. Step 4: Simplify right side
    231,410x = 122,206,875,561
  5. Step 5: Solve for x
    x = 122,206,875,561/231,410
  6. Step 6: Final answer
    x = 528,096.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.