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Finding the Third Proportional to 335,974 and 484,088

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Solution

The third proportional to 335,974 and 484,088 is: 697,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,974 : 484,088 = 484,088 : x
  2. Step 2: Convert to fraction form
    335,974/484,088 = 484,088/x
  3. Step 3: Cross multiply
    335,974x = 484,088 × 484,088
  4. Step 4: Simplify right side
    335,974x = 234,341,191,744
  5. Step 5: Solve for x
    x = 234,341,191,744/335,974
  6. Step 6: Final answer
    x = 697,498.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.