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Finding the Third Proportional to 300,045 and 455,902.50

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Solution

The third proportional to 300,045 and 455,902.50 is: 692,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,045 : 455,902.50 = 455,902.50 : x
  2. Step 2: Convert to fraction form
    300,045/455,902.50 = 455,902.50/x
  3. Step 3: Cross multiply
    300,045x = 455,902.50 × 455,902.50
  4. Step 4: Simplify right side
    300,045x = 207,847,089,506.25
  5. Step 5: Solve for x
    x = 207,847,089,506.25/300,045
  6. Step 6: Final answer
    x = 692,719.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.