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Finding the Third Proportional to 795,320 and 1,204,563.50

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Solution

The third proportional to 795,320 and 1,204,563.50 is: 1,824,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,320 : 1,204,563.50 = 1,204,563.50 : x
  2. Step 2: Convert to fraction form
    795,320/1,204,563.50 = 1,204,563.50/x
  3. Step 3: Cross multiply
    795,320x = 1,204,563.50 × 1,204,563.50
  4. Step 4: Simplify right side
    795,320x = 1,450,973,225,532.25
  5. Step 5: Solve for x
    x = 1,450,973,225,532.25/795,320
  6. Step 6: Final answer
    x = 1,824,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.