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Finding the Third Proportional to 306,913.50 and 656,463

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Solution

The third proportional to 306,913.50 and 656,463 is: 1,404,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,913.50 : 656,463 = 656,463 : x
  2. Step 2: Convert to fraction form
    306,913.50/656,463 = 656,463/x
  3. Step 3: Cross multiply
    306,913.50x = 656,463 × 656,463
  4. Step 4: Simplify right side
    306,913.50x = 430,943,670,369
  5. Step 5: Solve for x
    x = 430,943,670,369/306,913.50
  6. Step 6: Final answer
    x = 1,404,120.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.