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Finding the Third Proportional to 299,610 and 455,548.50

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Solution

The third proportional to 299,610 and 455,548.50 is: 692,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,610 : 455,548.50 = 455,548.50 : x
  2. Step 2: Convert to fraction form
    299,610/455,548.50 = 455,548.50/x
  3. Step 3: Cross multiply
    299,610x = 455,548.50 × 455,548.50
  4. Step 4: Simplify right side
    299,610x = 207,524,435,852.25
  5. Step 5: Solve for x
    x = 207,524,435,852.25/299,610
  6. Step 6: Final answer
    x = 692,648.56

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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.