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Finding the Third Proportional to 373,850 and 820,078

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Solution

The third proportional to 373,850 and 820,078 is: 1,798,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,850 : 820,078 = 820,078 : x
  2. Step 2: Convert to fraction form
    373,850/820,078 = 820,078/x
  3. Step 3: Cross multiply
    373,850x = 820,078 × 820,078
  4. Step 4: Simplify right side
    373,850x = 672,527,926,084
  5. Step 5: Solve for x
    x = 672,527,926,084/373,850
  6. Step 6: Final answer
    x = 1,798,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.