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Finding the Third Proportional to 425,890.50 and 864,297

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Solution

The third proportional to 425,890.50 and 864,297 is: 1,753,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,890.50 : 864,297 = 864,297 : x
  2. Step 2: Convert to fraction form
    425,890.50/864,297 = 864,297/x
  3. Step 3: Cross multiply
    425,890.50x = 864,297 × 864,297
  4. Step 4: Simplify right side
    425,890.50x = 747,009,304,209
  5. Step 5: Solve for x
    x = 747,009,304,209/425,890.50
  6. Step 6: Final answer
    x = 1,753,993.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.