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Finding the Third Proportional to 351,014.50 and 684,533

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Solution

The third proportional to 351,014.50 and 684,533 is: 1,334,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,014.50 : 684,533 = 684,533 : x
  2. Step 2: Convert to fraction form
    351,014.50/684,533 = 684,533/x
  3. Step 3: Cross multiply
    351,014.50x = 684,533 × 684,533
  4. Step 4: Simplify right side
    351,014.50x = 468,585,428,089
  5. Step 5: Solve for x
    x = 468,585,428,089/351,014.50
  6. Step 6: Final answer
    x = 1,334,946.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.