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Finding the Third Proportional to 301,092 and 662,068.50

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Solution

The third proportional to 301,092 and 662,068.50 is: 1,455,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,092 : 662,068.50 = 662,068.50 : x
  2. Step 2: Convert to fraction form
    301,092/662,068.50 = 662,068.50/x
  3. Step 3: Cross multiply
    301,092x = 662,068.50 × 662,068.50
  4. Step 4: Simplify right side
    301,092x = 438,334,698,692.25
  5. Step 5: Solve for x
    x = 438,334,698,692.25/301,092
  6. Step 6: Final answer
    x = 1,455,816.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.