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Finding the Third Proportional to 333,182.25 and 719,558.25

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Solution

The third proportional to 333,182.25 and 719,558.25 is: 1,553,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,182.25 : 719,558.25 = 719,558.25 : x
  2. Step 2: Convert to fraction form
    333,182.25/719,558.25 = 719,558.25/x
  3. Step 3: Cross multiply
    333,182.25x = 719,558.25 × 719,558.25
  4. Step 4: Simplify right side
    333,182.25x = 517,764,075,143.06
  5. Step 5: Solve for x
    x = 517,764,075,143.06/333,182.25
  6. Step 6: Final answer
    x = 1,553,996.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.