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Finding the Third Proportional to 507,089 and 759,050

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Solution

The third proportional to 507,089 and 759,050 is: 1,136,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,089 : 759,050 = 759,050 : x
  2. Step 2: Convert to fraction form
    507,089/759,050 = 759,050/x
  3. Step 3: Cross multiply
    507,089x = 759,050 × 759,050
  4. Step 4: Simplify right side
    507,089x = 576,156,902,500
  5. Step 5: Solve for x
    x = 576,156,902,500/507,089
  6. Step 6: Final answer
    x = 1,136,204.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.