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Finding the Third Proportional to 316,082 and 746,141

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Solution

The third proportional to 316,082 and 746,141 is: 1,761,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082 : 746,141 = 746,141 : x
  2. Step 2: Convert to fraction form
    316,082/746,141 = 746,141/x
  3. Step 3: Cross multiply
    316,082x = 746,141 × 746,141
  4. Step 4: Simplify right side
    316,082x = 556,726,391,881
  5. Step 5: Solve for x
    x = 556,726,391,881/316,082
  6. Step 6: Final answer
    x = 1,761,335.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.