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Finding the Third Proportional to 507,144 and 789,797

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Solution

The third proportional to 507,144 and 789,797 is: 1,229,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,144 : 789,797 = 789,797 : x
  2. Step 2: Convert to fraction form
    507,144/789,797 = 789,797/x
  3. Step 3: Cross multiply
    507,144x = 789,797 × 789,797
  4. Step 4: Simplify right side
    507,144x = 623,779,301,209
  5. Step 5: Solve for x
    x = 623,779,301,209/507,144
  6. Step 6: Final answer
    x = 1,229,984.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.