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Finding the Third Proportional to 300,526.25 and 468,022.25

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Solution

The third proportional to 300,526.25 and 468,022.25 is: 728,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,526.25 : 468,022.25 = 468,022.25 : x
  2. Step 2: Convert to fraction form
    300,526.25/468,022.25 = 468,022.25/x
  3. Step 3: Cross multiply
    300,526.25x = 468,022.25 × 468,022.25
  4. Step 4: Simplify right side
    300,526.25x = 219,044,826,495.06
  5. Step 5: Solve for x
    x = 219,044,826,495.06/300,526.25
  6. Step 6: Final answer
    x = 728,870.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.