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Finding the Third Proportional to 290,482 and 633,532

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Solution

The third proportional to 290,482 and 633,532 is: 1,381,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,482 : 633,532 = 633,532 : x
  2. Step 2: Convert to fraction form
    290,482/633,532 = 633,532/x
  3. Step 3: Cross multiply
    290,482x = 633,532 × 633,532
  4. Step 4: Simplify right side
    290,482x = 401,362,795,024
  5. Step 5: Solve for x
    x = 401,362,795,024/290,482
  6. Step 6: Final answer
    x = 1,381,713.14

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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.