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Finding the Third Proportional to 425,893.50 and 864,303

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Solution

The third proportional to 425,893.50 and 864,303 is: 1,754,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,893.50 : 864,303 = 864,303 : x
  2. Step 2: Convert to fraction form
    425,893.50/864,303 = 864,303/x
  3. Step 3: Cross multiply
    425,893.50x = 864,303 × 864,303
  4. Step 4: Simplify right side
    425,893.50x = 747,019,675,809
  5. Step 5: Solve for x
    x = 747,019,675,809/425,893.50
  6. Step 6: Final answer
    x = 1,754,005.82

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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.