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Finding the Third Proportional to 333,385 and 720,078

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Solution

The third proportional to 333,385 and 720,078 is: 1,555,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,385 : 720,078 = 720,078 : x
  2. Step 2: Convert to fraction form
    333,385/720,078 = 720,078/x
  3. Step 3: Cross multiply
    333,385x = 720,078 × 720,078
  4. Step 4: Simplify right side
    333,385x = 518,512,326,084
  5. Step 5: Solve for x
    x = 518,512,326,084/333,385
  6. Step 6: Final answer
    x = 1,555,295.91

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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.