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Finding the Third Proportional to 282,822.50 and 609,921

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Solution

The third proportional to 282,822.50 and 609,921 is: 1,315,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,822.50 : 609,921 = 609,921 : x
  2. Step 2: Convert to fraction form
    282,822.50/609,921 = 609,921/x
  3. Step 3: Cross multiply
    282,822.50x = 609,921 × 609,921
  4. Step 4: Simplify right side
    282,822.50x = 372,003,626,241
  5. Step 5: Solve for x
    x = 372,003,626,241/282,822.50
  6. Step 6: Final answer
    x = 1,315,325.43

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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.