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Finding the Third Proportional to 393,114 and 842,320.50

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Solution

The third proportional to 393,114 and 842,320.50 is: 1,804,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,114 : 842,320.50 = 842,320.50 : x
  2. Step 2: Convert to fraction form
    393,114/842,320.50 = 842,320.50/x
  3. Step 3: Cross multiply
    393,114x = 842,320.50 × 842,320.50
  4. Step 4: Simplify right side
    393,114x = 709,503,824,720.25
  5. Step 5: Solve for x
    x = 709,503,824,720.25/393,114
  6. Step 6: Final answer
    x = 1,804,829.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.