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Finding the Third Proportional to 305,297 and 449,111.50

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Solution

The third proportional to 305,297 and 449,111.50 is: 660,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,297 : 449,111.50 = 449,111.50 : x
  2. Step 2: Convert to fraction form
    305,297/449,111.50 = 449,111.50/x
  3. Step 3: Cross multiply
    305,297x = 449,111.50 × 449,111.50
  4. Step 4: Simplify right side
    305,297x = 201,701,139,432.25
  5. Step 5: Solve for x
    x = 201,701,139,432.25/305,297
  6. Step 6: Final answer
    x = 660,671.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.