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Finding the Third Proportional to 507,039.75 and 758,980.13

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Solution

The third proportional to 507,039.75 and 758,980.13 is: 1,136,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,039.75 : 758,980.13 = 758,980.13 : x
  2. Step 2: Convert to fraction form
    507,039.75/758,980.13 = 758,980.13/x
  3. Step 3: Cross multiply
    507,039.75x = 758,980.13 × 758,980.13
  4. Step 4: Simplify right side
    507,039.75x = 576,050,830,145.02
  5. Step 5: Solve for x
    x = 576,050,830,145.02/507,039.75
  6. Step 6: Final answer
    x = 1,136,105.86

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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.