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Finding the Third Proportional to 281,984 and 610,432

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Solution

The third proportional to 281,984 and 610,432 is: 1,321,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,984 : 610,432 = 610,432 : x
  2. Step 2: Convert to fraction form
    281,984/610,432 = 610,432/x
  3. Step 3: Cross multiply
    281,984x = 610,432 × 610,432
  4. Step 4: Simplify right side
    281,984x = 372,627,226,624
  5. Step 5: Solve for x
    x = 372,627,226,624/281,984
  6. Step 6: Final answer
    x = 1,321,448.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.