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Finding the Third Proportional to 315,104 and 472,888

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Solution

The third proportional to 315,104 and 472,888 is: 709,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,104 : 472,888 = 472,888 : x
  2. Step 2: Convert to fraction form
    315,104/472,888 = 472,888/x
  3. Step 3: Cross multiply
    315,104x = 472,888 × 472,888
  4. Step 4: Simplify right side
    315,104x = 223,623,060,544
  5. Step 5: Solve for x
    x = 223,623,060,544/315,104
  6. Step 6: Final answer
    x = 709,680.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.