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Finding the Third Proportional to 492,083 and 628,773

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Solution

The third proportional to 492,083 and 628,773 is: 803,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,083 : 628,773 = 628,773 : x
  2. Step 2: Convert to fraction form
    492,083/628,773 = 628,773/x
  3. Step 3: Cross multiply
    492,083x = 628,773 × 628,773
  4. Step 4: Simplify right side
    492,083x = 395,355,485,529
  5. Step 5: Solve for x
    x = 395,355,485,529/492,083
  6. Step 6: Final answer
    x = 803,432.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.