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Finding the Third Proportional to 309,916.13 and 656,464.50

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Solution

The third proportional to 309,916.13 and 656,464.50 is: 1,390,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,916.13 : 656,464.50 = 656,464.50 : x
  2. Step 2: Convert to fraction form
    309,916.13/656,464.50 = 656,464.50/x
  3. Step 3: Cross multiply
    309,916.13x = 656,464.50 × 656,464.50
  4. Step 4: Simplify right side
    309,916.13x = 430,945,639,760.25
  5. Step 5: Solve for x
    x = 430,945,639,760.25/309,916.13
  6. Step 6: Final answer
    x = 1,390,523.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.