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Finding the Third Proportional to 309,354.50 and 678,487

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Solution

The third proportional to 309,354.50 and 678,487 is: 1,488,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,354.50 : 678,487 = 678,487 : x
  2. Step 2: Convert to fraction form
    309,354.50/678,487 = 678,487/x
  3. Step 3: Cross multiply
    309,354.50x = 678,487 × 678,487
  4. Step 4: Simplify right side
    309,354.50x = 460,344,609,169
  5. Step 5: Solve for x
    x = 460,344,609,169/309,354.50
  6. Step 6: Final answer
    x = 1,488,081.18

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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.