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Finding the Third Proportional to 225,104 and 492,032

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Solution

The third proportional to 225,104 and 492,032 is: 1,075,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,104 : 492,032 = 492,032 : x
  2. Step 2: Convert to fraction form
    225,104/492,032 = 492,032/x
  3. Step 3: Cross multiply
    225,104x = 492,032 × 492,032
  4. Step 4: Simplify right side
    225,104x = 242,095,489,024
  5. Step 5: Solve for x
    x = 242,095,489,024/225,104
  6. Step 6: Final answer
    x = 1,075,482.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.