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Finding the Third Proportional to 301,096.50 and 662,076

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Solution

The third proportional to 301,096.50 and 662,076 is: 1,455,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.50 : 662,076 = 662,076 : x
  2. Step 2: Convert to fraction form
    301,096.50/662,076 = 662,076/x
  3. Step 3: Cross multiply
    301,096.50x = 662,076 × 662,076
  4. Step 4: Simplify right side
    301,096.50x = 438,344,629,776
  5. Step 5: Solve for x
    x = 438,344,629,776/301,096.50
  6. Step 6: Final answer
    x = 1,455,827.72

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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.