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Finding the Third Proportional to 315,852 and 690,754.50

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Solution

The third proportional to 315,852 and 690,754.50 is: 1,510,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,852 : 690,754.50 = 690,754.50 : x
  2. Step 2: Convert to fraction form
    315,852/690,754.50 = 690,754.50/x
  3. Step 3: Cross multiply
    315,852x = 690,754.50 × 690,754.50
  4. Step 4: Simplify right side
    315,852x = 477,141,779,270.25
  5. Step 5: Solve for x
    x = 477,141,779,270.25/315,852
  6. Step 6: Final answer
    x = 1,510,649.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.