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Finding the Third Proportional to 333,382.50 and 720,074.25

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Solution

The third proportional to 333,382.50 and 720,074.25 is: 1,555,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,382.50 : 720,074.25 = 720,074.25 : x
  2. Step 2: Convert to fraction form
    333,382.50/720,074.25 = 720,074.25/x
  3. Step 3: Cross multiply
    333,382.50x = 720,074.25 × 720,074.25
  4. Step 4: Simplify right side
    333,382.50x = 518,506,925,513.06
  5. Step 5: Solve for x
    x = 518,506,925,513.06/333,382.50
  6. Step 6: Final answer
    x = 1,555,291.37

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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.