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Finding the Third Proportional to 335,088 and 703,216

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Solution

The third proportional to 335,088 and 703,216 is: 1,475,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,088 : 703,216 = 703,216 : x
  2. Step 2: Convert to fraction form
    335,088/703,216 = 703,216/x
  3. Step 3: Cross multiply
    335,088x = 703,216 × 703,216
  4. Step 4: Simplify right side
    335,088x = 494,512,742,656
  5. Step 5: Solve for x
    x = 494,512,742,656/335,088
  6. Step 6: Final answer
    x = 1,475,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.