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Finding the Third Proportional to 350,037 and 763,428

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Solution

The third proportional to 350,037 and 763,428 is: 1,665,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,037 : 763,428 = 763,428 : x
  2. Step 2: Convert to fraction form
    350,037/763,428 = 763,428/x
  3. Step 3: Cross multiply
    350,037x = 763,428 × 763,428
  4. Step 4: Simplify right side
    350,037x = 582,822,311,184
  5. Step 5: Solve for x
    x = 582,822,311,184/350,037
  6. Step 6: Final answer
    x = 1,665,030.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.