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Finding the Third Proportional to 309,730 and 678,500

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Solution

The third proportional to 309,730 and 678,500 is: 1,486,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730 : 678,500 = 678,500 : x
  2. Step 2: Convert to fraction form
    309,730/678,500 = 678,500/x
  3. Step 3: Cross multiply
    309,730x = 678,500 × 678,500
  4. Step 4: Simplify right side
    309,730x = 460,362,250,000
  5. Step 5: Solve for x
    x = 460,362,250,000/309,730
  6. Step 6: Final answer
    x = 1,486,334.07

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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.