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Finding the Third Proportional to 309,636 and 678,282

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Solution

The third proportional to 309,636 and 678,282 is: 1,485,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,636 : 678,282 = 678,282 : x
  2. Step 2: Convert to fraction form
    309,636/678,282 = 678,282/x
  3. Step 3: Cross multiply
    309,636x = 678,282 × 678,282
  4. Step 4: Simplify right side
    309,636x = 460,066,471,524
  5. Step 5: Solve for x
    x = 460,066,471,524/309,636
  6. Step 6: Final answer
    x = 1,485,830.04

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