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Finding the Third Proportional to 376,897.50 and 820,226.25

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Solution

The third proportional to 376,897.50 and 820,226.25 is: 1,785,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,897.50 : 820,226.25 = 820,226.25 : x
  2. Step 2: Convert to fraction form
    376,897.50/820,226.25 = 820,226.25/x
  3. Step 3: Cross multiply
    376,897.50x = 820,226.25 × 820,226.25
  4. Step 4: Simplify right side
    376,897.50x = 672,771,101,189.06
  5. Step 5: Solve for x
    x = 672,771,101,189.06/376,897.50
  6. Step 6: Final answer
    x = 1,785,024.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.